Caputo type fractional differential equations with nonlocal Riemann-Liouville and Erdélyi-Kober type integral boundary conditions-Reference-Cited by-同舟云学术

Caputo type fractional differential equations with nonlocal Riemann-Liouville and Erdélyi-Kober type integral boundary conditions

Published:2017 Issue:14 Volume:31 Page:4515-4529
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Ahmad Bashir¹,Ntouyas Sotiris²,Tariboon Jessada³,Alsaedi Ahmed¹

Affiliation:

1. Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

2. Department of Mathematics, University of Ioannina, Ioannina, Greece + Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

3. Nonlinear Dynamic Analysis Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok, Thailand

Abstract

In this paper, we study nonlocal boundary value problems of nonlinear Caputo fractional differential equations supplemented with different combinations of Riemann-Liouville and Erd?lyi-Kober type fractional integral boundary conditions. By applying a variety of tools of fixed point theory, the desired existence and uniqueness results are obtained. Examples illustrating the main results are also constructed.

Publisher

National Library of Serbia

Subject

General Mathematics

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Measure of noncompactness for nonlinear Hilfer fractional differential equation with mixed fractional integral boundary conditions in Banach space;Journal of Innovative Applied Mathematics and Computational Sciences;2022-05-15

2. Analysis of a finite difference method based on L1 discretization for solving multi‐term fractional differential equation involving weak singularity;Mathematical Methods in the Applied Sciences;2022-03-08

3. Katugampola Fractional Differential Equation with Erdelyi-Kober Integral Boundary Conditions;Advances in the Theory of Nonlinear Analysis and its Application;2021-03-31

4. Analysis of fractional integro-differential equations with nonlocal Erdélyi-Kober type integral boundary conditions;Fractional Calculus and Applied Analysis;2020-10-01

5. On a Hilfer fractional differential equation with nonlocal Erdélyi-Kober fractional integral boundary conditions;Filomat;2020