Solution of Fractional Differential Equations via Fixed Point Theory
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Date
2022
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Publisher
UMT Lahore
Abstract
In the existing study, we will define the criteria of existence of solution for relatively new variants of Caputo fractional differential equations and inclusion problems. In this work, we are given a boundary value problem involving Riemann–Liouville fractional differential equation of given specific order. We aim to explore the existence aspect of solutions related to a novel structure of integro-differential equation in Caputo sense equipped with integral boundary conditions in the Riemann–Liouville sense. To seek the results, we are using contractive mappings in the given boundary value problem. In this thesis, we are proving the inclusion boundary value problem in different definite orders to establish the result. The results that are used to prove and extend the new study are given for completeness. All the examples are provided regarding the results used in the manuscript. Moreover, numerical examples are given in order to confirm the final findings and are also illustrated.