Existence of solutions to a class of nonlinear boundary value problems with right and left fractional derivarives

Existence of solutions to a class of nonlinear boundary value problems with right and left fractional derivarives

We discuss the existence of solutions for a boundary value problem involving both left Riemann-Liouville and right Caputo types derivatives. For this, we convert the posed problem to a sum of two integral operators then we apply Krasnoselskii’s fixed point theorem to conclude the existence of nontri...

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Bibliographic Details
Main Authors: Hamza Moffek, Assia Guezane-Lakoud
Format: Article
Language:English
Published: AIMS Press 2020-06-01
Series:AIMS Mathematics
Subjects:
boundary value problem
fractional derivative
fixed point theorem
existence of solution
integral equation
Online Access:https://www.aimspress.com/article/10.3934/math.2020305/fulltext.html
Description
Summary:We discuss the existence of solutions for a boundary value problem involving both left Riemann-Liouville and right Caputo types derivatives. For this, we convert the posed problem to a sum of two integral operators then we apply Krasnoselskii’s fixed point theorem to conclude the existence of nontrivial solutions.
ISSN:2473-6988

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