Analysis of differential equations involving Caputo–Fabrizio fractional operator and its applications to reaction–diffusion equations

Analysis of differential equations involving Caputo–Fabrizio fractional operator and its applications to reaction–diffusion equations

Abstract This manuscript deals with fractional differential equations including Caputo–Fabrizio differential operator. The conditions for existence and uniqueness of solutions of fractional initial value problems is established using fixed point theorem and contraction principle, respectively. As an...

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Bibliographic Details
Main Authors: Amjad Shaikh, Asifa Tassaddiq, Kottakkaran Sooppy Nisar, Dumitru Baleanu
Format: Article
Language:English
Published: SpringerOpen 2019-05-01
Series:Advances in Difference Equations
Subjects:
Caputo–Fabrizio derivative operator
Existence and uniqueness
Fixed point theorem
Iterative Laplace transform method
Approximate solutions
Online Access:http://link.springer.com/article/10.1186/s13662-019-2115-3

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http://link.springer.com/article/10.1186/s13662-019-2115-3

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