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Series S of Discrete and Continuous Dynamical Systems only publishes theme issues. Each issue is devoted to a specific area of the mathematical, physical and engineering sciences. This area will define a research frontier that is advancing rapidly, often bridging mathematics and sciences. DCDS-S is essential reading for mathematicians, physicists, engineers and other physical scientists. The journal is published bimonthly.

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Preface
Laurence Cherfils, Alain Cimetière, Aziz Hamdouni, Michel Jean and Elaine Pratt
2019, 12(6) : ⅰ-ⅱ doi: 10.3934/dcdss.201906i +[Abstract](72) +[HTML](32) +[PDF](81.11KB)
Existence theorem for a first-order Koiter nonlinear shell model
Sylvia Anicic
2019, 12(6) : 1535-1545 doi: 10.3934/dcdss.2019106 +[Abstract](518) +[HTML](297) +[PDF](321.52KB)
Formal asymptotic analysis of elastic beams and thin-walled beams: A derivation of the Vlassov equations and their generalization to the anisotropic heterogeneous case
Patrick Ballard and Bernadette Miara
2019, 12(6) : 1547-1588 doi: 10.3934/dcdss.2019107 +[Abstract](560) +[HTML](285) +[PDF](519.08KB)
Magnetic forces in and on a magnet
Alain Bossavit
2019, 12(6) : 1589-1600 doi: 10.3934/dcdss.2019108 +[Abstract](425) +[HTML](311) +[PDF](333.8KB)
Analysis of discretized parabolic problems modeling electrostatic micro-electromechanical systems
Laurence Cherfils, Alain Miranville, Shuiran Peng and Chuanju Xu
2019, 12(6) : 1601-1621 doi: 10.3934/dcdss.2019109 +[Abstract](490) +[HTML](325) +[PDF](884.5KB)
Complex ray in anisotropic solids: Extended Fermat's principle
Marc Deschamps and Olivier Poncelet
2019, 12(6) : 1623-1633 doi: 10.3934/dcdss.2019110 +[Abstract](394) +[HTML](281) +[PDF](795.84KB)
On the controllability of racing sailing boats with foils
Philippe Destuynder and Caroline Fabre
2019, 12(6) : 1635-1668 doi: 10.3934/dcdss.2019111 +[Abstract](416) +[HTML](288) +[PDF](10229.27KB)
Direct construction of symmetry-breaking directions in bifurcation problems with spherical symmetry
Sanjay Dharmavaram and Timothy J. Healey
2019, 12(6) : 1669-1684 doi: 10.3934/dcdss.2019112 +[Abstract](584) +[HTML](310) +[PDF](6179.96KB)
Efficient high-order implicit solvers for the dynamic of thin-walled beams with open cross section under external arbitrary loadings
Ahmed El Kaimbillah, Oussama Bourihane, Bouazza Braikat, Mohammad Jamal, Foudil Mohri and Noureddine Damil
2019, 12(6) : 1685-1708 doi: 10.3934/dcdss.2019113 +[Abstract](612) +[HTML](543) +[PDF](3536.02KB)
Approximation of semi-groups in the sense of Trotter and asymptotic mathematical modeling in physics of continuous media
Christian Licht and Thibaut Weller
2019, 12(6) : 1709-1741 doi: 10.3934/dcdss.2019114 +[Abstract](562) +[HTML](320) +[PDF](544.42KB)
POD basis interpolation via Inverse Distance Weighting on Grassmann manifolds
Rolando Mosquera, Aziz Hamdouni, Abdallah El Hamidi and Cyrille Allery
2019, 12(6) : 1743-1759 doi: 10.3934/dcdss.2019115 +[Abstract](642) +[HTML](318) +[PDF](1027.49KB)
Dynamics of locally linearizable complex two dimensional cubic Hamiltonian systems
Yangyou Pan, Yuzhen Bai and Xiang Zhang
2019, 12(6) : 1761-1774 doi: 10.3934/dcdss.2019116 +[Abstract](498) +[HTML](298) +[PDF](377.7KB)
Topological remarks and new examples of persistence of diversity in biological dynamics
Evariste Sanchez-Palencia and Jean-Pierre Françoise
2019, 12(6) : 1775-1789 doi: 10.3934/dcdss.2019117 +[Abstract](547) +[HTML](285) +[PDF](745.0KB)
Multi-point Taylor series to solve differential equations
Djédjé Sylvain Zézé, Michel Potier-Ferry and Yannick Tampango
2019, 12(6) : 1791-1806 doi: 10.3934/dcdss.2019118 +[Abstract](700) +[HTML](326) +[PDF](455.71KB)
The work of Norman Dancer
Yihong Du
2018doi: 10.3934/dcdss.2019119 +[Abstract](428) +[HTML](261) +[PDF](563.04KB)
On a degree associated with the Gross-Pitaevskii system with a large parameter
E. Norman Dancer
2018doi: 10.3934/dcdss.2019120 +[Abstract](350) +[HTML](166) +[PDF](252.8KB)
Subharmonic solutions for a class of Lagrangian systems
Anouar Bahrouni, Marek Izydorek and Joanna Janczewska
2018doi: 10.3934/dcdss.2019121 +[Abstract](395) +[HTML](214) +[PDF](370.68KB)
On good deformations of $ A_m $-singularities
Zalman Balanov and Yakov Krasnov
2018doi: 10.3934/dcdss.2019122 +[Abstract](346) +[HTML](216) +[PDF](422.7KB)
The Morse property for functions of Kirchhoff-Routh path type
Thomas Bartsch, Anna Maria Micheletti and Angela Pistoia
2018doi: 10.3934/dcdss.2019123 +[Abstract](375) +[HTML](198) +[PDF](433.5KB)
Dihedral molecular configurations interacting by Lennard-Jones and Coulomb forces
Irina Berezovik, Wieslaw Krawcewicz and Qingwen Hu
2018doi: 10.3934/dcdss.2019124 +[Abstract](331) +[HTML](181) +[PDF](300.33KB)
Global bifurcations and a priori bounds of positive solutions for coupled nonlinear Schrödinger Systems
Guowei Dai, Rushun Tian and Zhitao Zhang
2018doi: 10.3934/dcdss.2019125 +[Abstract](379) +[HTML](367) +[PDF](530.21KB)
Least energy solutions for fractional Kirchhoff type equations involving critical growth
Yinbin Deng and Wentao Huang
2018doi: 10.3934/dcdss.2019126 +[Abstract](515) +[HTML](341) +[PDF](526.06KB)
Branching and bifurcation
Patrick M. Fitzpatrick and Jacobo Pejsachowicz
2018doi: 10.3934/dcdss.2019127 +[Abstract](502) +[HTML](299) +[PDF](459.95KB)
Multiple solutions for a critical quasilinear equation with Hardy potential
Fengshuang Gao and Yuxia Guo
2018doi: 10.3934/dcdss.2019128 +[Abstract](503) +[HTML](360) +[PDF](592.06KB)
Global symmetry-breaking bifurcations of critical orbits of invariant functionals
Anna Goƚȩbiewska, Norimichi Hirano and Sƚawomir Rybicki
2018doi: 10.3934/dcdss.2019129 +[Abstract](475) +[HTML](290) +[PDF](430.91KB)
Selective Pyragas control of Hamiltonian systems
Edward Hooton, Pavel Kravetc, Dmitrii Rachinskii and Qingwen Hu
2018doi: 10.3934/dcdss.2019130 +[Abstract](480) +[HTML](334) +[PDF](486.58KB)
Existence of positive ground state solutions for Choquard equation with variable exponent growth
Gui-Dong Li and Chun-Lei Tang
2018doi: 10.3934/dcdss.2019131 +[Abstract](604) +[HTML](323) +[PDF](481.63KB)
Solutions of nonlinear periodic Dirac equations with periodic potentials
Xiaoyan Lin and Xianhua Tang
2018doi: 10.3934/dcdss.2019132 +[Abstract](523) +[HTML](282) +[PDF](403.85KB)
A Leslie-Gower predator-prey model with a free boundary
Yunfeng Liu, Zhiming Guo, Mohammad El Smaily and Lin Wang
2018doi: 10.3934/dcdss.2019133 +[Abstract](510) +[HTML](325) +[PDF](460.06KB)
Periodic and subharmonic solutions for a 2$n$th-order $\phi_c$-Laplacian difference equation containing both advances and retardations
Peng Mei, Zhan Zhou and Genghong Lin
2018doi: 10.3934/dcdss.2019134 +[Abstract](548) +[HTML](287) +[PDF](381.32KB)
Traveling waves in Fermi-Pasta-Ulam chains with nonlocal interaction
Alexander Pankov
2018doi: 10.3934/dcdss.2019135 +[Abstract](519) +[HTML](335) +[PDF](406.92KB)
Ground states of nonlinear Schrödinger equations with fractional Laplacians
Zupei Shen, Zhiqing Han and Qinqin Zhang
2018doi: 10.3934/dcdss.2019136 +[Abstract](508) +[HTML](318) +[PDF](387.3KB)
On periodic solutions in the Whitney's inverted pendulum problem
Roman Srzednicki
2018doi: 10.3934/dcdss.2019137 +[Abstract](474) +[HTML](277) +[PDF](381.34KB)
Positive solutions of doubly coupled multicomponent nonlinear Schrödinger systems
Jiabao Su, Rushun Tian and Zhi-Qiang Wang
2018doi: 10.3934/dcdss.2019138 +[Abstract](517) +[HTML](290) +[PDF](507.51KB)
Ground state homoclinic solutions for a second-order Hamiltonian system
Xiaoping Wang
2018doi: 10.3934/dcdss.2019139 +[Abstract](541) +[HTML](295) +[PDF](447.37KB)
The mean and noise of FPT modulated by promoter architecture in gene networks
Kunwen Wen, Lifang Huang, Qiuying Li, Qi Wang and Jianshe Yu
2018doi: 10.3934/dcdss.2019140 +[Abstract](495) +[HTML](307) +[PDF](475.08KB)
Bifurcation analysis of a stage-structured predator-prey model with prey refuge
Qing Zhu, Huaqin Peng, Xiaoxiao Zheng and Huafeng Xiao
2018doi: 10.3934/dcdss.2019141 +[Abstract](504) +[HTML](290) +[PDF](367.13KB)
Shadowing is generic on dendrites
Will Brian, Jonathan Meddaugh and Brian Raines
2019doi: 10.3934/dcdss.2019142 +[Abstract](440) +[HTML](293) +[PDF](333.27KB)
Free probability on $ C^{*}$-algebras induced by hecke algebras over primes
Ilwoo Cho and Palle Jorgense
2019doi: 10.3934/dcdss.2019143 +[Abstract](423) +[HTML](270) +[PDF](556.98KB)
Orbit portraits in non-autonomous iteration
Mark Comerford and Todd Woodard
2019doi: 10.3934/dcdss.2019144 +[Abstract](403) +[HTML](278) +[PDF](3443.77KB)
Solving the Babylonian problem of quasiperiodic rotation rates
Suddhasattwa Das, Yoshitaka Saiki, Evelyn Sander and James A. Yorke
2019doi: 10.3934/dcdss.2019145 +[Abstract](564) +[HTML](334) +[PDF](6747.17KB)
Dynamical properties of endomorphisms, multiresolutions, similarity and orthogonality relations
Palle Jorgensen and Feng Tian
2019doi: 10.3934/dcdss.2019146 +[Abstract](482) +[HTML](291) +[PDF](1021.99KB)
Informing the structure of complex Hadamard matrix spaces using a flow
Francis C. Motta and Patrick D. Shipman
2019doi: 10.3934/dcdss.2019147 +[Abstract](389) +[HTML](266) +[PDF](2129.44KB)
On a semigroup problem
Viorel Nitica and Andrei Török
2019doi: 10.3934/dcdss.2019148 +[Abstract](481) +[HTML](272) +[PDF](400.77KB)
Stable sets of planar homeomorphisms with translation pseudo-arcs
Francisco R. Ruiz del Portal
2019doi: 10.3934/dcdss.2019149 +[Abstract](434) +[HTML](260) +[PDF](469.23KB)
Hereditarily non uniformly perfect sets
Rich Stankewitz, Toshiyuki Sugawa and Hiroki Sumi
2019doi: 10.3934/dcdss.2019150 +[Abstract](406) +[HTML](262) +[PDF](408.13KB)
Thurston's algorithm and rational maps from quadratic polynomial matings
Mary Wilkerson
2019doi: 10.3934/dcdss.2019151 +[Abstract](526) +[HTML](294) +[PDF](4291.42KB)
A cyclic system with delay and its characteristic equation
Elena Braverman, Karel Hasik, Anatoli F. Ivanov and Sergei I. Trofimchuk
2019doi: 10.3934/dcdss.2020001 +[Abstract](423) +[HTML](251) +[PDF](978.84KB)
Long-time behavior of positive solutions of a differential equation with state-dependent delay
Josef Diblík
2019doi: 10.3934/dcdss.2020002 +[Abstract](420) +[HTML](276) +[PDF](424.57KB)
A periodic solution with non-simple oscillation for an equation with state-dependent delay and strictly monotonic negative feedback
Benjamin B. Kennedy
2019doi: 10.3934/dcdss.2020003 +[Abstract](387) +[HTML](247) +[PDF](2370.68KB)
Existence of strictly decreasing positive solutions of linear differential equations of neutral type
Josef Diblík and Zdeněk Svoboda
2019doi: 10.3934/dcdss.2020004 +[Abstract](406) +[HTML](259) +[PDF](445.59KB)
Generalised Lyapunov-Razumikhin techniques for scalar state-dependent delay differential equations
F. M. G. Magpantay and A. R. Humphries
2019doi: 10.3934/dcdss.2020005 +[Abstract](323) +[HTML](224) +[PDF](10539.13KB)
Stabilization in a chemotaxis model for virus infection
Nicola Bellomo and Youshan Tao
2019doi: 10.3934/dcdss.2020006 +[Abstract](438) +[HTML](252) +[PDF](424.81KB)
Global generalized solutions to a parabolic-elliptic Keller-Segel system with singular sensitivity
Tobias Black
2019doi: 10.3934/dcdss.2020007 +[Abstract](515) +[HTML](255) +[PDF](465.95KB)
Boundedness and homogeneous asymptotics for a fractional logistic Keller-Segel equations
Jan Burczak and Rafael Granero-Belinchón
2019doi: 10.3934/dcdss.2020008 +[Abstract](379) +[HTML](271) +[PDF](618.85KB)
Global existence in the 1D quasilinear parabolic-elliptic chemotaxis system with critical nonlinearity
Tomasz Cieślak and Kentarou Fujie
2019doi: 10.3934/dcdss.2020009 +[Abstract](361) +[HTML](233) +[PDF](345.23KB)
On a chemotaxis model with competitive terms arising in angiogenesis
Manuel Delgado, Inmaculada Gayte, Cristian Morales-Rodrigo and Antonio Suárez
2019doi: 10.3934/dcdss.2020010 +[Abstract](381) +[HTML](245) +[PDF](535.82KB)
Global asymptotic stability in a chemotaxis-growth model for tumor invasion
Kentarou Fujie
2019doi: 10.3934/dcdss.2020011 +[Abstract](505) +[HTML](276) +[PDF](365.89KB)
Boundedness in a quasilinear fully parabolic Keller-Segel system via maximal Sobolev regularity
Sachiko Ishida and Tomomi Yokota
2019doi: 10.3934/dcdss.2020012 +[Abstract](362) +[HTML](239) +[PDF](496.26KB)
Infinite time blow-up of many solutions to a general quasilinear parabolic-elliptic Keller-Segel system
Johannes Lankeit
2019doi: 10.3934/dcdss.2020013 +[Abstract](376) +[HTML](232) +[PDF](489.94KB)
Decay in chemotaxis systems with a logistic term
Monica Marras, Stella Vernier-Piro and Giuseppe Viglialoro
2019doi: 10.3934/dcdss.2020014 +[Abstract](370) +[HTML](229) +[PDF](379.51KB)
Improvement of conditions for asymptotic stability in a two-species chemotaxis-competition model with signal-dependent sensitivity
Masaaki Mizukami
2019doi: 10.3934/dcdss.2020015 +[Abstract](343) +[HTML](231) +[PDF](138.78KB)
On a Parabolic-ODE system of chemotaxis
Mihaela Negreanu and J. Ignacio Tello
2019doi: 10.3934/dcdss.2020016 +[Abstract](409) +[HTML](239) +[PDF](412.51KB)
Existence of traveling wave solutions to parabolic-elliptic-elliptic chemotaxis systems with logistic source
Rachidi B. Salako and Wenxian Shen
2019doi: 10.3934/dcdss.2020017 +[Abstract](397) +[HTML](237) +[PDF](595.85KB)
On a parabolic-elliptic chemotaxis-growth system with nonlinear diffusion
Yilong Wang and Xuande Zhang
2019doi: 10.3934/dcdss.2020018 +[Abstract](400) +[HTML](256) +[PDF](380.86KB)
Global solvability in a two-dimensional self-consistent chemotaxis-Navier-Stokes system
Yulan Wang
2019doi: 10.3934/dcdss.2020019 +[Abstract](416) +[HTML](264) +[PDF](534.92KB)
Fractional operators with boundary points dependent kernels and integration by parts
Thabet Abdeljawad
2019doi: 10.3934/dcdss.2020020 +[Abstract](291) +[HTML](136) +[PDF](454.87KB)
MHD flow of fractional Newtonian fluid embedded in a porous medium via Atangana-Baleanu fractional derivatives
Kashif Ali Abro and Ilyas Khan
2019doi: 10.3934/dcdss.2020021 +[Abstract](256) +[HTML](141) +[PDF](356.5KB)
Implementation of the vehicular occupancy-emission relation using a cubic B-splines collocation method
Said Agoujil, Abderrahman Bouhamidi, Sofiya Chergui and Youssef Qaraai
2019doi: 10.3934/dcdss.2020022 +[Abstract](221) +[HTML](149) +[PDF](538.77KB)
New aspects of time fractional optimal control problems within operators with nonsingular kernel
Tuğba Akman Yıldız, Amin Jajarmi, Burak Yıldız and Dumitru Baleanu
2019doi: 10.3934/dcdss.2020023 +[Abstract](250) +[HTML](258) +[PDF](747.1KB)
A new numerical scheme applied on re-visited nonlinear model of predator-prey based on derivative with non-local and non-singular kernel
Badr Saad T. Alkahtani and Ilknur Koca
2019doi: 10.3934/dcdss.2020024 +[Abstract](219) +[HTML](153) +[PDF](360.58KB)
Augmented upwind numerical schemes for a fractional advection-dispersion equation in fractured groundwater systems
Amy Allwright and Abdon Atangana
2019doi: 10.3934/dcdss.2020025 +[Abstract](208) +[HTML](157) +[PDF](425.72KB)
Models of fluid flowing in non-conventional media: New numerical analysis
Abdon Atangana and Sonal Jain
2019doi: 10.3934/dcdss.2020026 +[Abstract](212) +[HTML](129) +[PDF](2802.07KB)
Generalized variational calculus in terms of multi-parameters involving Atangana-Baleanu's derivatives and application
G. M. Bahaa
2019doi: 10.3934/dcdss.2020027 +[Abstract](268) +[HTML](212) +[PDF](388.75KB)
New approximate solutions to the nonlinear Klein-Gordon equations using perturbation iteration techniques
Necdet Bildik and Sinan Deniz
2019doi: 10.3934/dcdss.2020028 +[Abstract](248) +[HTML](139) +[PDF](603.8KB)
Analysis of a Lymphatic filariasis-schistosomiasis coinfection with public health dynamics: Model obtained through Mittag-Leffler function
Ebenezer Bonyah and Samuel Kwesi Asiedu
2019doi: 10.3934/dcdss.2020029 +[Abstract](255) +[HTML](167) +[PDF](639.18KB)
Fractional calculus and applications of family of extended generalized Gauss hypergeometric functions
Mehar Chand, Jyotindra C. Prajapati, Ebenezer Bonyah and Jatinder Kumar Bansal
2019doi: 10.3934/dcdss.2020030 +[Abstract](233) +[HTML](224) +[PDF](427.94KB)
A novel predictor-corrector scheme for solving variable-order fractional delay differential equations involving operators with Mittag-Leffler kernel
Antonio Coronel-Escamilla and José Francisco Gómez-Aguilar
2019doi: 10.3934/dcdss.2020031 +[Abstract](252) +[HTML](126) +[PDF](951.83KB)
Memorized relaxation with singular and non-singular memory kernels for basic relaxation of dielectric vis-à-vis Curie-von Schweidler & Kohlrausch relaxation laws
Shantanu Das
2019doi: 10.3934/dcdss.2020032 +[Abstract](247) +[HTML](187) +[PDF](713.9KB)
Parabolic problem with fractional time derivative with nonlocal and nonsingular Mittag-Leffler kernel
Jean Daniel Djida, Juan J. Nieto and Iván Area
2019doi: 10.3934/dcdss.2020033 +[Abstract](228) +[HTML](133) +[PDF](388.03KB)
Multi-directional and saturated chaotic attractors with many scrolls for fractional dynamical systems
Emile Franc Doungmo Goufo
2019doi: 10.3934/dcdss.2020034 +[Abstract](210) +[HTML](120) +[PDF](843.78KB)
Dynamics of traveling waves of variable order hyperbolic Liouville equation: Regulation and control
Emile Franc Doungmo Goufo and Abdon Atangana
2019doi: 10.3934/dcdss.2020035 +[Abstract](281) +[HTML](174) +[PDF](720.09KB)
Perturbations of Hindmarsh-Rose neuron dynamics by fractional operators: Bifurcation, firing and chaotic bursts
Emile Franc Doungmo Goufo, Melusi Khumalo and Patrick M. Tchepmo Djomegni
2019doi: 10.3934/dcdss.2020036 +[Abstract](208) +[HTML](147) +[PDF](949.96KB)
Analytical results on the unsteady rotational flow of fractional-order non-Newtonian fluids with shear stress on the boundary
Muhammad Mansha Ghalib, Azhar Ali Zafar, Zakia Hammouch, Muhammad Bilal Riaz and Khurram Shabbir
2019doi: 10.3934/dcdss.2020037 +[Abstract](254) +[HTML](165) +[PDF](363.4KB)
Variational principles in the frame of certain generalized fractional derivatives
Fahd Jarad and Thabet Abdeljawad
2019doi: 10.3934/dcdss.2020038 +[Abstract](276) +[HTML](116) +[PDF](310.23KB)
Generalized fractional derivatives and Laplace transform
Fahd Jarad and Thabet Abdeljawad
2019doi: 10.3934/dcdss.2020039 +[Abstract](389) +[HTML](188) +[PDF](336.84KB)
Existence and stability results to a class of fractional random implicit differential equations involving a generalized Hilfer fractional derivative
Fahd Jarad, Sugumaran Harikrishnan, Kamal Shah and Kuppusamy Kanagarajan
2019doi: 10.3934/dcdss.2020040 +[Abstract](235) +[HTML](247) +[PDF](378.94KB)
Comparative study of fractional Fokker-Planck equations with various fractional derivative operators
Krunal B. Kachhia
2019doi: 10.3934/dcdss.2020041 +[Abstract](204) +[HTML](138) +[PDF](843.15KB)
Extension of triple Laplace transform for solving fractional differential equations
Amir Khan, Asaf Khan, Tahir Khan and Gul Zaman
2019doi: 10.3934/dcdss.2020042 +[Abstract](268) +[HTML](189) +[PDF](584.6KB)
Channel flow of fractionalized H2O-based CNTs nanofluids with Newtonian heating
Ilyas Khan, Muhammad Saqib and Aisha M. Alqahtani
2019doi: 10.3934/dcdss.2020043 +[Abstract](237) +[HTML](155) +[PDF](339.38KB)
Analysis of the Fitzhugh Nagumo model with a new numerical scheme
Jyoti Mishra
2019doi: 10.3934/dcdss.2020044 +[Abstract](211) +[HTML](337) +[PDF](607.85KB)
Note on a $ k $-generalised fractional derivative
Ekta Mittal and Sunil Joshi
2019doi: 10.3934/dcdss.2020045 +[Abstract](217) +[HTML](120) +[PDF](343.21KB)
Mathematical modeling approach to the fractional Bergman's model
Victor Fabian Morales-Delgado, José Francisco Gómez-Aguilar and Marco Antonio Taneco-Hernández
2019doi: 10.3934/dcdss.2020046 +[Abstract](249) +[HTML](140) +[PDF](469.52KB)
Dynamical behaviour of fractional-order predator-prey system of Holling-type
Kolade M. Owolabi
2019doi: 10.3934/dcdss.2020047 +[Abstract](228) +[HTML](116) +[PDF](973.98KB)
Numerical simulation of multidimensional nonlinear fractional Ginzburg-Landau equations
Kolade M. Owolabi and Edson Pindza
2019doi: 10.3934/dcdss.2020048 +[Abstract](257) +[HTML](145) +[PDF](1350.42KB)
Fractional input stability and its application to neural network
Ndolane Sene
2019doi: 10.3934/dcdss.2020049 +[Abstract](304) +[HTML](122) +[PDF](370.89KB)
Mittag-Leffler input stability of fractional differential equations and its applications
Ndolane Sene
2019doi: 10.3934/dcdss.2020050 +[Abstract](279) +[HTML](126) +[PDF](344.45KB)
Inclusion of fading memory to Banister model of changes in physical condition
Mansour Shrahili, Ravi Shanker Dubey and Ahmed Shafay
2019doi: 10.3934/dcdss.2020051 +[Abstract](186) +[HTML](123) +[PDF](330.35KB)
European option valuation under the Bates PIDE in finance: A numerical implementation of the Gaussian scheme
Fazlollah Soleymani and Ali Akgül
2019doi: 10.3934/dcdss.2020052 +[Abstract](241) +[HTML](116) +[PDF](1674.58KB)
Existence results of Hilfer integro-differential equations with fractional order
Ramasamy Subashini, Chokkalingam Ravichandran, Kasthurisamy Jothimani and Haci Mehmet Baskonus
2019doi: 10.3934/dcdss.2020053 +[Abstract](420) +[HTML](155) +[PDF](445.32KB)
Optical solitons to the fractional perturbed NLSE in nano-fibers
Tukur Abdulkadir Sulaiman, Hasan Bulut and Haci Mehmet Baskonus
2019doi: 10.3934/dcdss.2020054 +[Abstract](198) +[HTML](207) +[PDF](1204.79KB)
A fractional model for the dynamics of tuberculosis (TB) using Atangana-Baleanu derivative
Saif Ullah, Muhammad Altaf Khan, Muhammad Farooq and Ebraheem O. Alzahrani
2019doi: 10.3934/dcdss.2020055 +[Abstract](265) +[HTML](124) +[PDF](513.11KB)
A fractional order HBV model with hospitalization
Saif Ullah, Muhammad Altaf Khan, Muhammad Farooq, Taza Gul and Fawad Hussain
2019doi: 10.3934/dcdss.2020056 +[Abstract](233) +[HTML](225) +[PDF](2536.42KB)
A fractional model for the dynamics of tuberculosis infection using Caputo-Fabrizio derivative
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