MILD SOLUTIONS OF COUPLED HYBRID FRACTIONAL ORDER SYSTEM WITH CAPUTO–HADAMARD DERIVATIVES

Pallavi Bedi (), Anoop Kumar (), Thabet Abdeljawad, Aziz Khan () and J. F. Gã“mez-Aguilar
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Pallavi Bedi: Department of Mathematics and Statistics, Central University of Punjab, Bathinda 151001, Punjab, India
Anoop Kumar: Department of Mathematics and Statistics, Central University of Punjab, Bathinda 151001, Punjab, India
Thabet Abdeljawad: Department of Mathematics and General Sciences, Prince Sultan University, P. O. Box 66833, 11586 Riyadh, Saudi Arabia3Department of Medical Research, China Medical University, Taichung 40402, Taiwan4Department of Computer Science and Information Engineering, Asia University, Taichung, Taiwan
Aziz Khan: Department of Mathematics and General Sciences, Prince Sultan University, 11586 Riyadh, Saudi Arabia
J. F. Gã“mez-Aguilar: CONACyT-Tecnológico Nacional de México/CENIDET, Interior Internado Palmira S/N, Col. Palmira, C.P. 62490, Cuernavaca, Morelos, México

FRACTALS (fractals), 2021, vol. 29, issue 06, 1-10

Abstract: This paper is devoted to prove the existence of mild solutions of coupled hybrid fractional order system with Caputo–Hadamard derivatives using Dhage fixed point theorem in Banach algebras. In order to confirm the applicability of obtained result an example is also presented.

Keywords: Hybrid Fractional Differential Equations; Caputo–Hadamard Derivative; Dhage Fixed Point Theorem; Mild Solutions (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S0218348X21501589

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