Darboux problem for perturbed partial differential equation of fractional order
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Date
2020
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Faculty of Mathematics and Computer Sciences Department of Mathematics - Option : PDE & Application
Abstract
The objective of this memory is to study the existence of solution for Darboux problem for perturbed partial differential equations of fractional order. These results are based on a fixed-point theorem for the sum of contraction and compact operators. We conclude the results obtained by illustrative examples.
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Keywords
Darboux problem, functional differential equations, solution, left-sided mixed Riman-Liouville integral, Caputo fractional order derivative, Katugampola fractional order derivative, fixed point.