Existence and uniqueness of solutions for fractional nonlinear hybrid impulsive system

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 t...

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Published inNumerical methods for partial differential equations Vol. 38; no. 3; pp. 359 - 371
Main Authors Gupta, Vidushi, Jarad, Fahd, Valliammal, Natarajan, Ravichandran, Chokkalingam, Nisar, Kottakkaran Sooppy
Format Journal Article
LanguageEnglish
Published Hoboken, USA John Wiley & Sons, Inc 01.05.2022
Wiley Subscription Services, Inc
Subjects
Boundary conditions
Existence theorems
fixed point theorems
Fixed points (mathematics)
fractional derivatives and integrals
hybrid differential equations
Hybrid systems
impulsive conditions
nonlocal boundary conditions
Perturbation
Uniqueness
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Summary: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.
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ISSN:0749-159X
1098-2426
DOI:10.1002/num.22628