Existence of solutions to discrete boundary value problem of fractional difference equations

Deepak B. Pachpatte; Arif S. Bagwan; Amol D. Khandagale

doi:10.26637/MJM0803/0017

Abstract

In this paper, we obtained the sufficient conditions for the existence of solutions to the discrete boundary value problems of fractional difference equation depending on parameters. We use Krasnosel'skii fixed point theorem to establish the existence results.

Keywords:

Fractional difference equation, fixed point theorem, existence, boundary value problem

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

Deepak B. Pachpatte Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad-431004, India.
Arif S. Bagwan Department of First Year Engineering, Pimpri Chinchwad College of Engineering, Nigdi, Pune-411044, India. https://orcid.org/0000-0003-4789-7049
Amol D. Khandagale Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad-431004, India. https://orcid.org/0000-0002-8028-4335

Pages: 832-837
Date Published: 01-07-2020
Vol. 8 No. 03 (2020): Malaya Journal of Matematik (MJM)

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