Browsing by Author "Malik, Muslim"

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Citation - WoS: 10
Citation - Scopus: 10
Existence of Local and Global Solutions To Fractional Order Fuzzy Delay Differential Equation With Non-Instantaneous Impulses
(Amer inst Mathematical Sciences-aims, 2022) Malik, Muslim; Sajid, Mohammad; Baleanu, Dumitru; Kumar, Anil
The main concern of this manuscript is to examine some sufficient conditions under which the fractional order fuzzy delay differential system with the non-instantaneous impulsive condition has a unique solution. We also study the existence of a global solution for the considered system. Fuzzy set theory, Banach fixed point theorem and Non-linear functional analysis are the major tools to demonstrate our results. In last, an example is given to illustrate these analytical results.
Citation - WoS: 17
Citation - Scopus: 19
Results on Hilfer Fractional Switched Dynamical System With Non-Instantaneous Impulses
(indian Acad Sciences, 2022) Malik, Muslim; Baleanu, Dumitru; Kumar, Vipin
This paper concerns with the existence, uniqueness, Ulam's Hyer (UH) stability and total controllability results for the Hilfer fractional switched impulsive systems in finite-dimensional spaces. Mainly, this paper can be divided into three parts. In the first part, we examine the existence of a unique solution. In the second part, we establish the UH stability results, and in the third part, we study the total controllability results. The main outcomes are acquired by utilising the nonlinear analysis, fractional calculus, Mittag-Leffler function and Banach contraction principle. Finally, we have given two examples to validate the obtained analytical results.