Results on Hilfer fractional switched dynamical system with non-instantaneous impulses
VIPIN KUMAR MUSLIM MALIK DUMITRU BALEANU
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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.
VIPIN KUMAR1 MUSLIM MALIK2 DUMITRU BALEANU3 4 5
Volume 97, 2023
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