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This paper focuses on establishing the existence results for a coupled implicit impulsive fractional differential system (CIIFDS) utilizing the Caputo-Fabrizio (CF) operator. Employing fixedpoint approaches within generalized metric spaces (GMS), we derive novel findings regarding the existence of solutions. To illustrate the practical application of the presented theoretical concepts, a numerical example is provided in the concluding part of the investigation. [ABSTRACT FROM AUTHOR]

Thi.s paper ix concerned with the existence of solutions for deformable fractional differential inclusion [(DF (DI] with boundary conditions iii Banach spaces. In the set-valued (multivalued) function. the investigation is reliable for both convex and non-convex values. In addition, we illustrate our results via applications of our abstract theory. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to establish the existence results for fractional neutral differential inclusion [F N(DI] via deformable fractional derivative [(DFD] in Banach spaces. The investigation is valid for both convex and non-convex values in the set-valued (multi-valued) function. Additionally. we provide applications of our abstract theory as examples to support our findings. [ABSTRACT FROM AUTHOR]

This manuscript primarily aims to establish the existence of a piecewise-continuous solution for Caputo-Fabrizio fractional implicit pantograph differential inclusions (CFFIPDI) with non-instantaneous impulses (NII) in the Banach space. Based on Martelli's fixed point theorem, we develop our main results. The validity of the theoretical findings is illustrated with the help of an example. [ABSTRACT FROM AUTHOR]

Through the use of the Caputo-Fabrizio (CF) operator, the purpose of this work is to prove the existence findings for an impulsive neutral fractional differential system (INFDS) with boundary value conditions (BVC). The use of fixed point methods allows for the establishment of a number of novel existence results. In the latter section of the study. two numerical examples are provided to demonstrate the application of the theoretical ideas presented. [ABSTRACT FROM AUTHOR]