Exploring the dynamics of nonlocal coupled systems of fractional q-integro-differential equations with infinite delay

KK Ali, KR Raslan, AAE Ibrahim, MS Mohamed - Heliyon, 2024 - cell.com
In this study, we explore a coupled system of fractional integro-differential equations with
infinite delay and nonlocal conditions. This system encompasses classical derivatives of …

Exploring the dynamics of coupled systems: fractional q-integro differential equations with infinite delay

KK Ali, KR Raslan, A Abd-Elall Ibrahim… - Journal of Taibah …, 2024 - Taylor & Francis
The objective of this study is to demonstrate the existence and uniqueness of a solution to a
coupled system of infinite-delay fractional q integro-differential equations. The equation that …

EXISTENCE OF NONTRIVIAL SOLUTIONS FOR AN INTEGRAL BOUNDARY VALUE PROBLEM INVOLVING THE CAPUTO-FABRIZIO-TYPE FRACTIONAL …

L Xue, Q Sun, D O'Regan, J Xu - Journal of Applied Analysis & …, 2025 - jaac-online.com
In this work we study the existence of nontrivial solutions for a Caputo-Fabrizio-type
fractional integral boundary value problem. We first construct a new linear operator, which …

[PDF][PDF] The existence and uniqueness of a fractional q-integro dif-ferential equation involving the Caputo-Fabrizio fractional derivative and the fractional q-integral of …

KK Alia, KR Raslana, AAE Ibrahimb, MA Maatyc - 2024 - researchgate.net
The fractional integro-differential equations are presented here, together with the novel
definitions of the Caputo and Fabrizio differential operators and the q-Riemann-Liouville …