Existence theorems for semi-linear Caputo fractional differential equations with nonlocal discrete and integral boundary conditions-Reference-Cited by-同舟云学术

Existence theorems for semi-linear Caputo fractional differential equations with nonlocal discrete and integral boundary conditions

Published:2016-04-01 Issue:2 Volume:19 Page:463-479
ISSN:1311-0454
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Qarout Doa’a¹,Ahmad Bashir¹,Alsaedi Ahmed¹

Affiliation:

1. Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group Dept. of Mathematics, Fac. of Science King Abdulaziz University, P.O. Box 80203 Jeddah 21589, SAUDI ARABIA

Abstract

Abstract In this paper, we introduce and study a new class of boundary value problems of one-dimensional higher-order semi-linear Caputo type fractional differential equations and nonlocal multi-point discrete and integral boundary conditions. Our existence results are new in the given setting and rest on some standard tools of fixed point theory. We also discuss Riemann-Liouville and Stieltjes variants of the proposed problem. The obtained results are well illustrated with the aid of examples.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2016-0024/pdf

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