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Nonlinear Impulsive Multi-Order Caputo-Type Generalized Fractional Differential Equations with Infinite Delay
Journal article   Open access  Peer reviewed

Nonlinear Impulsive Multi-Order Caputo-Type Generalized Fractional Differential Equations with Infinite Delay

Bashir Ahmad, Madeaha Alghanmi, Ahmed Alsaedi and Ravi P. Agarwal
Mathematics (Basel), Vol.7(11), p.1108
01/11/2019

Abstract

Mathematics Physical Sciences Science & Technology
We establish sufficient conditions for the existence of solutions for a nonlinear impulsive multi-order Caputo-type generalized fractional differential equation with infinite delay and nonlocal generalized integro-initial value conditions. The existence result is proved by means of Krasnoselskii's fixed point theorem, while the contraction mapping principle is employed to obtain the uniqueness of solutions for the problem at hand. The paper concludes with illustrative examples.
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https://doi.org/10.3390/math7111108View
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