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Study on Krasnoselskii's fixed point theorem for Caputo-Fabrizio fractional differential equations

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2020

Authors

Eiman
Shah, K.
Sarwar, M.
Baleanu, Dumitru

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Open Access Color

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Abstract

This note is concerned with establishing existence theory of solutions to a class of implicit fractional differential equations (FODEs) involving nonsingular derivative. By using usual classical fixed point theorems of Banach and Krasnoselskii, we develop sufficient conditions for the existence of at least one solution and its uniqueness. Further, some results about Ulam-Hyers stability and its generalization are also discussed. Two suitable examples are given to demonstrate the results.

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Krasnoselskii's Fixed Point Theorem, Caputo-Fabrizio Fractional Differential Equations, Hyers-Ulam Stability

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Eiman...at all (2020). "Study on Krasnoselskii's fixed point theorem for Caputo-Fabrizio fractional differential equations", Advances in Difference Equations, Vol. 2020, No. 1.

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Advances in Difference Equations

Volume

2020

Issue

1

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