Darbo Fixed Point Criterion on Solutions of a Hadamard Nonlinear Variable Order Problem and Ulam-Hyers-Rassias Stability-Reference-Cited by-同舟云学术

Darbo Fixed Point Criterion on Solutions of a Hadamard Nonlinear Variable Order Problem and Ulam-Hyers-Rassias Stability

Published:2022-04-23 Issue: Volume:2022 Page:1-12
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Rezapour Shahram¹²^ORCID,Bouazza Zoubida³,Souid Mohammed Said⁴,Etemad Sina¹^ORCID,Kaabar Mohammed K. A.⁵^ORCID

Affiliation:

1. Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran

2. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan

3. Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbès, Algeria

4. Department of Economic Sciences, University of Tiaret, Algeria

5. Gofa Camp, Near Gofa Industrial College and German Adebabay, Nifas Silk-Lafto, 26649 Addis Ababa, Ethiopia

Abstract

The existence aspects along with the stability of solutions to a Hadamard variable order fractional boundary value problem are investigated in this research study. Our results are obtained via generalized intervals and piecewise constant functions and the relevant Green function, by converting the existing Hadamard variable order fractional boundary value problem to an equivalent standard Hadamard fractional boundary problem of the fractional constant order. Further, Darbo’s fixed point criterion along with Kuratowski’s measure of noncompactness is used in this direction. As well as, the Ulam-Hyers-Rassias stability of the proposed Hadamard variable order fractional boundary value problem is established. A numerical example is presented to express our results’ validity.

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2022/1769359.pdf

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