Study Of Impulsive Problem With Caputo Fractional Derivative Involving Nonlocal Conditions Using Fixed Point Theory

Swathi Dhandapani; Karthik Raja Umapathi; Jeyaraman Mathuraiveeran; Kamal Shah; Thabet Abdeljawad; Kamal Shah; Thabet Abdeljawad; Fahd Jarad

doi:10.22771/nfaa.2025.30.02.01

Study Of Impulsive Problem With Caputo Fractional Derivative Involving Nonlocal Conditions Using Fixed Point Theory

Swathi Dhandapani, Karthik Raja Umapathi, Jeyaraman Mathuraiveeran, Kamal Shah, Thabet Abdeljawad^*, Kamal Shah, Thabet Abdeljawad^*, Fahd Jarad

^*Corresponding author for this work

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

Abstract

In this article, we study the existence of solutions for an impulsive Caupto fractional differential equations with a class of initial value problem dependence on the Lipschitz first derivative conditions. Our main tool is a Banach's fixed point theorem and Leray-Schauder fixed point theorem. We also investigate the existence of fractional Derivative with non-local conditions. An numerical example is given to clarify the results.

Original language	English
Article number	e12651
Pages (from-to)	315-329
Number of pages	15
Journal	Nonlinear Functional Analysis and Applications
Volume	30
Issue number	2
DOIs	https://doi.org/10.22771/nfaa.2025.30.02.01
Publication status	Published - Jun 2025
Externally published	Yes

Keywords

Caputo derivative
Fractional calculus
existence
fixed point
impulsive
initial value problem

Access to Document

10.22771/nfaa.2025.30.02.01

Cite this

@article{fdf929d9e2174944906862134f02dc95,

title = "Study Of Impulsive Problem With Caputo Fractional Derivative Involving Nonlocal Conditions Using Fixed Point Theory",

abstract = "In this article, we study the existence of solutions for an impulsive Caupto fractional differential equations with a class of initial value problem dependence on the Lipschitz first derivative conditions. Our main tool is a Banach's fixed point theorem and Leray-Schauder fixed point theorem. We also investigate the existence of fractional Derivative with non-local conditions. An numerical example is given to clarify the results.",

keywords = "Caputo derivative, Fractional calculus, existence, fixed point, impulsive, initial value problem",

author = "Swathi Dhandapani and Umapathi, \{Karthik Raja\} and Jeyaraman Mathuraiveeran and Kamal Shah and Thabet Abdeljawad and Kamal Shah and Thabet Abdeljawad and Fahd Jarad",

year = "2025",

month = jun,

doi = "10.22771/nfaa.2025.30.02.01",

language = "English",

volume = "30",

pages = "315--329",

journal = "Nonlinear Functional Analysis and Applications",

issn = "1229-1595",

publisher = "Kyungnam University Press",

number = "2",

}

TY - JOUR

T1 - Study Of Impulsive Problem With Caputo Fractional Derivative Involving Nonlocal Conditions Using Fixed Point Theory

AU - Dhandapani, Swathi

AU - Umapathi, Karthik Raja

AU - Mathuraiveeran, Jeyaraman

AU - Shah, Kamal

AU - Abdeljawad, Thabet

AU - Shah, Kamal

AU - Abdeljawad, Thabet

AU - Jarad, Fahd

PY - 2025/6

Y1 - 2025/6

N2 - In this article, we study the existence of solutions for an impulsive Caupto fractional differential equations with a class of initial value problem dependence on the Lipschitz first derivative conditions. Our main tool is a Banach's fixed point theorem and Leray-Schauder fixed point theorem. We also investigate the existence of fractional Derivative with non-local conditions. An numerical example is given to clarify the results.

AB - In this article, we study the existence of solutions for an impulsive Caupto fractional differential equations with a class of initial value problem dependence on the Lipschitz first derivative conditions. Our main tool is a Banach's fixed point theorem and Leray-Schauder fixed point theorem. We also investigate the existence of fractional Derivative with non-local conditions. An numerical example is given to clarify the results.

KW - Caputo derivative

KW - Fractional calculus

KW - existence

KW - fixed point

KW - impulsive

KW - initial value problem

UR - https://www.scopus.com/pages/publications/105015158179

U2 - 10.22771/nfaa.2025.30.02.01

DO - 10.22771/nfaa.2025.30.02.01

M3 - Article

AN - SCOPUS:105015158179

SN - 1229-1595

VL - 30

SP - 315

EP - 329

JO - Nonlinear Functional Analysis and Applications

JF - Nonlinear Functional Analysis and Applications

IS - 2

M1 - e12651

ER -

Study Of Impulsive Problem With Caputo Fractional Derivative Involving Nonlocal Conditions Using Fixed Point Theory

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this