
Previous Article
Optimal control and stability analysis of an epidemic model with education campaign and treatment
 PROC Home
 This Issue

Next Article
JacobiLie systems: Fundamentals and lowdimensional classification
Positive solutions of a fractional boundary value problem with a fractional derivative boundary condition
1.  Department of Mathematics and Statistics, Eastern Kentucky University, Richmond, Kentucky 40475, United States, United States 
References:
show all references
References:
[1] 
Editorial Office. WITHDRAWN: Fractional diffusion equation described by the AtanganaBaleanu fractional derivative and its approximate solution. Discrete and Continuous Dynamical Systems  S, 2021 doi: 10.3934/dcdss.2020173 
[2] 
Kaouther Bouchama, Yacine Arioua, Abdelkrim Merzougui. The Numerical Solution of the spacetime fractional diffusion equation involving the CaputoKatugampola fractional derivative. Numerical Algebra, Control and Optimization, 2021 doi: 10.3934/naco.2021026 
[3] 
Changpin Li, Zhiqiang Li. Asymptotic behaviors of solution to partial differential equation with Caputo–Hadamard derivative and fractional Laplacian: Hyperbolic case. Discrete and Continuous Dynamical Systems  S, 2021, 14 (10) : 36593683. doi: 10.3934/dcdss.2021023 
[4] 
Piotr Grabowski. On analytic semigroup generators involving Caputo fractional derivative. Evolution Equations and Control Theory, 2022 doi: 10.3934/eect.2022014 
[5] 
Gennaro Infante. Positive and increasing solutions of perturbed Hammerstein integral equations with derivative dependence. Discrete and Continuous Dynamical Systems  B, 2020, 25 (2) : 691699. doi: 10.3934/dcdsb.2019261 
[6] 
Diane Denny. A unique positive solution to a system of semilinear elliptic equations. Conference Publications, 2013, 2013 (special) : 193195. doi: 10.3934/proc.2013.2013.193 
[7] 
GUANGBING LI. Positive solution for quasilinear Schrödinger equations with a parameter. Communications on Pure and Applied Analysis, 2015, 14 (5) : 18031816. doi: 10.3934/cpaa.2015.14.1803 
[8] 
Fangfang Dong, Yunmei Chen. A fractionalorder derivative based variational framework for image denoising. Inverse Problems and Imaging, 2016, 10 (1) : 2750. doi: 10.3934/ipi.2016.10.27 
[9] 
Ekta Mittal, Sunil Joshi. Note on a $ k $generalised fractional derivative. Discrete and Continuous Dynamical Systems  S, 2020, 13 (3) : 797804. doi: 10.3934/dcdss.2020045 
[10] 
Saif Ullah, Muhammad Altaf Khan, Muhammad Farooq, Zakia Hammouch, Dumitru Baleanu. A fractional model for the dynamics of tuberculosis infection using CaputoFabrizio derivative. Discrete and Continuous Dynamical Systems  S, 2020, 13 (3) : 975993. doi: 10.3934/dcdss.2020057 
[11] 
Saif Ullah, Muhammad Altaf Khan, Muhammad Farooq, Ebraheem O. Alzahrani. A fractional model for the dynamics of tuberculosis (TB) using AtanganaBaleanu derivative. Discrete and Continuous Dynamical Systems  S, 2020, 13 (3) : 937956. doi: 10.3934/dcdss.2020055 
[12] 
Ricardo Almeida, M. Luísa Morgado. Optimality conditions involving the Mittag–Leffler tempered fractional derivative. Discrete and Continuous Dynamical Systems  S, 2022, 15 (3) : 519534. doi: 10.3934/dcdss.2021149 
[13] 
Tran Bao Ngoc, Nguyen Huy Tuan, R. Sakthivel, Donal O'Regan. Analysis of nonlinear fractional diffusion equations with a Riemannliouville derivative. Evolution Equations and Control Theory, 2022, 11 (2) : 439455. doi: 10.3934/eect.2021007 
[14] 
Roberto Garrappa, Eleonora Messina, Antonia Vecchio. Effect of perturbation in the numerical solution of fractional differential equations. Discrete and Continuous Dynamical Systems  B, 2018, 23 (7) : 26792694. doi: 10.3934/dcdsb.2017188 
[15] 
Pei Ma, Yan Li, Jihui Zhang. Symmetry and nonexistence of positive solutions for fractional systems. Communications on Pure and Applied Analysis, 2018, 17 (3) : 10531070. doi: 10.3934/cpaa.2018051 
[16] 
John R. Graef, Lingju Kong, Qingkai Kong, Min Wang. Positive solutions of nonlocal fractional boundary value problems. Conference Publications, 2013, 2013 (special) : 283290. doi: 10.3934/proc.2013.2013.283 
[17] 
Daria Bugajewska, Mirosława Zima. On positive solutions of nonlinear fractional differential equations. Conference Publications, 2003, 2003 (Special) : 141146. doi: 10.3934/proc.2003.2003.141 
[18] 
Yan Deng, Junfang Zhao, Baozeng Chu. Symmetry of positive solutions for systems of fractional Hartree equations. Discrete and Continuous Dynamical Systems  S, 2021, 14 (9) : 30853096. doi: 10.3934/dcdss.2021079 
[19] 
Ran Zhuo, Yan Li. Regularity and existence of positive solutions for a fractional system. Communications on Pure and Applied Analysis, 2022, 21 (1) : 83100. doi: 10.3934/cpaa.2021168 
[20] 
Krunal B. Kachhia. Comparative study of fractional FokkerPlanck equations with various fractional derivative operators. Discrete and Continuous Dynamical Systems  S, 2020, 13 (3) : 741754. doi: 10.3934/dcdss.2020041 
Impact Factor:
Tools
Metrics
Other articles
by authors
[Back to Top]