drsatyaprakash.singh@rsmams.org
Back to rsmams.org About SEAJMAMS For Authors Submit a Paper Contact Us
Research Article

SOLVABILITY OF NONLINEAR HYBRID FRACTIONAL DIFFERENTIAL EQUATIONS VIA FIXED POINT THEOREM

M
Monkhum Khilak Department of Mathematics, Jawaharlal Nehru College Pasighat, East Siang - 791103, Arunachal Pradesh, INDIA
S
Saifur Rahman Department of Mathematics, Jamia Millia Islamia University, Jamia Nagar, Okhla, New Delhi - 110025, INDIA
B
Bhuban Chandra Deuri Department of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh - 791112, Arunachal Pradesh, INDIA
B
Bipan Hazarika Department of Mathematics, Gauhati University, Guwahati - 781014, Assam, INDIA
Volume 21, Issue 1 Pages 33-46 April 30, 2025 200 downloads
Article overview

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 noncompactnessfractional integral equationsfixed point theorem.

AMS Subject Classification

45G10, 45P05, 47H10.

Reference information

How to Cite

Monkhum Khilak, Saifur Rahman, Bhuban Chandra Deuri, Bipan Hazarika (2025). SOLVABILITY OF NONLINEAR HYBRID FRACTIONAL DIFFERENTIAL EQUATIONS VIA FIXED POINT THEOREM. South East Asian Journal of Mathematics and Mathematical Sciences, 21(1), 33-46.
Back to this issue
Copied