Existence results for boundary value problems of Hadamard fractional differential equations on unbounded domain-Reference-Cited by-同舟云学术

Existence results for boundary value problems of Hadamard fractional differential equations on unbounded domain

Published:2024-05-04 Issue:3 Volume:32 Page:241-248
ISSN:0926-6364
Container-title:Random Operators and Stochastic Equations
language:en
Short-container-title:

Author:

Helal Mohamed¹,Kerfouf Meriem²,Semari Fadila²

Affiliation:

1. Science and Technology Faculty , Mustapha Stambouli University of Mascara B.P. 763 , 29000 , Mascara ; and Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbès, B.P. 89, 22000, Sidi Bel-Abbès , Algeria

2. Mustapha Stambouli University of Mascara. B.P. 763 , 29000 , Mascara , Algeria

Abstract

Abstract In this paper we investigate the existence and uniqueness of solutions for a class of boundary value problem for fractional differential equations involving the Hadamard’s fractional derivative, by applying a nonlinear alternative of Leray–Schauder due to Frigon and Granas for contraction maps in Fréchet spaces.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/rose-2024-2011/pdf

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