SOLVABILITY OF NONLINEAR HYBRID FRACTIONAL DIFFERENTIAL EQUATIONS VIA FIXED POINT THEOREM

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 43

Volume : 21 , Issue : 1
DOI: https://doi.org/10.56827/SEAJMMS.2025.2101.4
Author :
Monkhum Khilak (Department of Mathematics, Jawaharlal Nehru College Pasighat, East Siang - 791103, Arunachal Pradesh, INDIA)
Saifur Rahman (Department of Mathematics, Jamia Millia Islamia University, Jamia Nagar, Okhla, New Delhi - 110025, INDIA)
Bhuban Chandra Deuri (Department of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh - 791112, Arunachal Pradesh, INDIA)
Bipan Hazarika (Department of Mathematics, Gauhati University, Guwahati - 781014, Assam, INDIA)

Abstract

In this article, we generalized Darbo's fixed point theorem and establish the existence of solutions of fractional hybrid differential equations. The proof relies on Darbo’s fixed point theorem, and the solvability is investigated in the tempered sequence space $\ell_p^\alpha$. An illustrative example is provided to verify the applicability of our results.

Keywords and Phrases

Measure of noncompactness; fractional integral equations; fixed point theorem.

A.M.S. subject classification

45G10, 45P05, 47H10.

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