Qualitative study of solutions for certain fractional differential equations
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Date
2022-03-23
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Université Badji Mokhtar Annaba
Abstract
The objective of this thesis is to study some qualitative properties of solutions for various classes of nonlinear fractional differential equations and inclusions involving various kinds of fractional derivatives. For this aim, we convert the given problem into an equivalent integral equation and then use the appropriate fixed point theorems such that the fixed points obtained are the solutions of the given problem. We also provide an illustrative example to each of the considered problem to show the effectiveness of the theoretical results.
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Keywords
Fractional differential equations; hybrid fractional differential equations; fractional integro-differential equations; fractional differential inclusions; fractional derivatives; boundary value problems; Banach space; fixed point; Kuratowski measure of noncompactness; existence; uniqueness; Ulam stability