New class of boundary value problem for nonlinear fractional differential equations involving Erdélyi-Kober derivative-Reference-Cited by-同舟云学术

New class of boundary value problem for nonlinear fractional differential equations involving Erdélyi-Kober derivative

Published:2019-12-01 Issue:2 Volume:27 Page:113-141
ISSN:2336-1298
Container-title:Communications in Mathematics
language:en
Short-container-title:

Author:

Arioua Yacine¹,Titraoui Maria²

Affiliation:

1. Laboratory for Pure and Applied Mathematics , University of M’sila , Bp 166 M’sila , 28000 , Algeria , ariouayacine@ymail.com

2. Laboratory for Pure and Applied Mathematics , University of M’sila , Bp 166 M’sila , 28000 , Algeria

Abstract

Abstract In this paper, we introduce a new class of boundary value problem for nonlinear fractional differential equations involving the Erdélyi-Kober differential operator on an infinite interval. Existence and uniqueness results for a positive solution of the given problem are obtained by using the Banach contraction principle, the Leray-Schauder nonlinear alternative, and Guo-Krasnosel’skii fixed point theorem in a special Banach space. To that end, some examples are presented to illustrate the usefulness of our main results.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.sciendo.com/pdf/10.2478/cm-2019-0011

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