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Attractivity of implicit differential equations with composite fractional derivative
Journal article   Peer reviewed

Attractivity of implicit differential equations with composite fractional derivative

Devaraj Vivek, Elsayed M. Elsayed and Kuppusamy Kanagarajan
Georgian mathematical journal, Vol.30(1), pp.151-158
01/02/2023
DOI: https://doi.org/10.1515/gmj-2022-2200

Abstract

26A33 34A08 34A40 asymptotic stability existence fixed point Hilfer fractional derivative Riemann–Liouville fractional integral
In this paper, we study the existence and attractivity of solutions for an implicit differential equation with composite fractional derivative. By means of Schauder’s fixed point theorem, sufficient conditions for the main results are investigated. An example is presented to illustrate our theory

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