Boundary and initial value problem for nonlinier of Caputo-Katugampola type fractional differential equation
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Date
2019
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UNIVERSITE MOHAMED BOUDIAF - M’SILA- FACULTE MATHEMATIQUES ET DE L’INFORMATIQUE
Abstract
T
he aim of memory is to study the existence and uniqueness of solution to boundary value problem of nonlinear fractional differential equation with Caputo-Katugampola derivative in bounded
domain. The derived results are based on fixed point theorems (Banach’s, Schauder’s, Schaufer’s). Next,
we establish the existence of solution to a certain coupled system of Caputo-Katugampola fractional differential equation. We conclude the results obtained by illustrative examples.
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Keywords
Caputo type, fractional differential equation, boundary value problem, existence and uniqueness.