Existence and Uniqueness Results for Nonlinear Implicit Fractional Differential Equations with Boundary Conditions

Existence and Uniqueness Results for Nonlinear Implicit Fractional Differential Equations with Boundary Conditions

In this paper, we establish the existence and uniqueness of solution for a class of boundary value problems for implicit fractional differential equations with Caputo fractional derivative. The arguments are based upon the Banach contraction principle, Schauder's fixed point theorem and the non...

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Bibliographic Details
Main Authors: Mouffak Benchohra, Jamal E. Lazreg
Format: Article
Language:English
Published: Conspress 2014-05-01
Series:Romanian Journal of Mathematics and Computer Science
Subjects:
Boundary value problem
Caputo's fractional derivative
implicit fractional dierential equations
fractional integral
existence
Green's function
Gronwall's lemma
xed point
fixed point
Online Access:http://www.rjm-cs.ro/BenchohraRazreg-2014.pdf

Internet

http://www.rjm-cs.ro/BenchohraRazreg-2014.pdf

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