Existence and uniqueness criteria for the solution of impulsive-implicit FDE with non-local operator

Sajjan, Munzarin A.; Shaikh, Amjad S.

doi:10.22034/cmde.2026.64111.2900

Existence and uniqueness criteria for the solution of impulsive-implicit FDE with non-local operator

Articles in Press

Document Type : Research Paper

Authors

¹ 1. Research Scholar, Department of Mathematics, Sir Parshurambhau College, Affiliated to Savitribai Phule Pune University, Pune, India. 2. Department of Mathematics, AKI's Poona College of Arts, Science and Commerce, Camp, Pune, India.

² Department of Mathematics, AKI's Poona College of Arts, Science and Commerce, Camp, Pune, India.

10.22034/cmde.2026.64111.2900

Abstract

This article deals with the existence results and uniqueness criteria for impulsive-implicit FDE of order 0<beta<1, where authors obtained the results using Atangana-Baleanu derivative operator. The existence results and uniqueness criteria are obtained by using Krasnoselskii fixed point theorem and Banach Contractiona principle. Further authors have obtained Hyer-Ulam stability. To show applicability of obtained results, a few examples are provided in details.

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Main Subjects