Browsing by Author "Bedi, Pallavi"
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Item Mild solutions of coupled hybrid fractional order system with caputo-hadamard derivatives(World Scientific, 2021-05-15T00:00:00) Bedi, Pallavi; Kumar, Anoop; Abdeljawad, Thabet; Khan, Aziz; G�mez-Aguilar, J.F.This paper is devoted to prove the existence of mild solutions of coupled hybrid fractional order system with Caputo-Hadamard derivatives using Dhage fixed point theorem in Banach algebras. In order to confirm the applicability of obtained result an example is also presented. � 2021 World Scientific Publishing Company.Item Stability analysis of neutral delay fractional differential equations with Erdelyi�Kober fractional integral boundary conditions(Elsevier B.V., 2023-08-11T00:00:00) Bedi, Pallavi; Kumar, Anoop; Khan, Aziz; Abdeljawad, ThabetThe primary focus of this article is to provide sufficient conditions for the Ulam�Hyers stability of neutral delay fractional differential equations involving Hilfer fractional derivatives and Erdelyi�Kober fractional integral boundary conditions. The fixed point approach is utilized to prove the existence and uniqueness of mild solutions for the proposed problem. In the end, the derived results are validated through an illustrative example. � 2023 The Author(s)