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Title: New class of boundary value problem for nonlinear fractional differential equations involving Erdélyi-Kober derivative (English)
Author: Arioua, Yacine
Author: Titraoui, Maria
Language: English
Journal: Communications in Mathematics
ISSN: 1804-1388
Volume: 27
Issue: 2
Year: 2019
Pages: 113-141
Summary lang: English
Category: math
Summary: 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. (English)
Keyword: Fractional differential equations
Keyword: Boundary value problems
Keyword: Erdélyi-Kober derivative
Keyword: Fixed point theorems
Keyword: Existence
Keyword: Uniqueness.
MSC: 34A08
MSC: 34A37
MSC: 47H10
idMR: MR4058170
Date available: 2020-02-20T08:59:45Z
Last updated: 2020-04-02
Stable URL:
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