Existence and uniqueness of solutions for fractional nonlinear hybrid impulsive system

Vidushi Gupta; Fahd Jarad; Natarajan Valliammal; Chokkalingam Ravichandran; Kottakkaran Sooppy Nisar

doi:10.1002/num.22628

Existence and uniqueness of solutions for fractional nonlinear hybrid impulsive system

Vidushi Gupta
, Fahd Jarad
, Natarajan Valliammal
, Chokkalingam Ravichandran
, Kottakkaran Sooppy Nisar

Mathematics

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

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.

Original language	English
Pages (from-to)	359-371
Number of pages	13
Journal	Numerical Methods for Partial Differential Equations
Volume	38
Issue number	3
DOIs	https://doi.org/10.1002/num.22628
State	Published - May 2022

Keywords

fixed point theorems
fractional derivatives and integrals
hybrid differential equations
impulsive conditions
nonlocal boundary conditions

Access to Document

10.1002/num.22628

Cite this

@article{c340cbc62fba4ade8680cb7de76da92c,

title = "Existence and uniqueness of solutions for fractional nonlinear hybrid impulsive system",

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.",

keywords = "fixed point theorems, fractional derivatives and integrals, hybrid differential equations, impulsive conditions, nonlocal boundary conditions",

author = "Vidushi Gupta and Fahd Jarad and Natarajan Valliammal and Chokkalingam Ravichandran and Nisar, \{Kottakkaran Sooppy\}",

note = "Publisher Copyright: {\textcopyright} 2020 Wiley Periodicals LLC",

year = "2022",

month = may,

doi = "10.1002/num.22628",

language = "English",

volume = "38",

pages = "359--371",

journal = "Numerical Methods for Partial Differential Equations",

issn = "0749-159X",

publisher = "John Wiley \& Sons Inc.",

number = "3",

}

TY - JOUR

T1 - Existence and uniqueness of solutions for fractional nonlinear hybrid impulsive system

AU - Gupta, Vidushi

AU - Jarad, Fahd

AU - Valliammal, Natarajan

AU - Ravichandran, Chokkalingam

AU - Nisar, Kottakkaran Sooppy

PY - 2022/5

Y1 - 2022/5

N2 - 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.

AB - 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.

KW - fixed point theorems

KW - fractional derivatives and integrals

KW - hybrid differential equations

KW - impulsive conditions

KW - nonlocal boundary conditions

UR - https://www.scopus.com/pages/publications/85096649212

U2 - 10.1002/num.22628

DO - 10.1002/num.22628

M3 - Article

AN - SCOPUS:85096649212

SN - 0749-159X

VL - 38

SP - 359

EP - 371

JO - Numerical Methods for Partial Differential Equations

JF - Numerical Methods for Partial Differential Equations

IS - 3

ER -

Existence and uniqueness of solutions for fractional nonlinear hybrid impulsive system

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this