Initial value problem for nonlinear implicit fractional differential equations with Katugampola derivative
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Date
2019
Authors
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Journal ISSN
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Publisher
Université de M'sila
Abstract
This work studies the existence and uniqueness of solutions for a class of
nonlinear implicit fractional differential equations via the Katugampola fractional
derivatives with an initial condition. The arguments for the study are based upon
the Banach contraction principle, Schauders fi xed point theorem and the nonlinear
alternative of Leray-Schauder type.