Existence and uniqueness of solutions for fractional nonlinear hybrid impulsive system
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Date
2022
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Wiley
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Abstract
The investigation of existence and uniqueness of impulsive dynamical fractional systems with quadratic perturbation of second type subject to nonlocal boundary conditions is presented and proved. By employing the fractional theory, Banach contraction technique, and Krasnoselskii's fixed point theorem, we derived some sufficient conditions to ensure the existence of our system. An example is offered to enhance the applicability of the results obtained.
Description
Valliammal, Natarajan/0000-0003-2085-0961; Nisar, Prof. Kottakkaran Sooppy/0000-0001-5769-4320; Ravichandran, Chokkalingam/0000-0003-0214-1280
Keywords
Fixed Point Theorems, Fractional Derivatives And Integrals, Hybrid Differential Equations, Impulsive Conditions, Nonlocal Boundary Conditions
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Citation
Gupta, Vidushi...et al. (2022). "Existence and uniqueness of solutions for fractional nonlinear hybrid impulsive system", Numerical Methods for Partial Differential Equations, Vol. 38, No. 3, pp. 359-371.
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Q1
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Volume
38
Issue
3
Start Page
359
End Page
371