Discussions on Sobolev type Neutral Nonlocal fractional differential equation

K. Kaliraj; M. Manjula; E. Thilakraj; C. Ravichandran; Kottakkaran Sooppy Nisar; Yousef A.Baker El-Ebiary; Ahmad O. Hourani

doi:10.1016/j.padiff.2024.101018

Discussions on Sobolev type Neutral Nonlocal fractional differential equation

K. Kaliraj
, M. Manjula
, E. Thilakraj
, C. Ravichandran
, Kottakkaran Sooppy Nisar
, Yousef A.Baker El-Ebiary
, Ahmad O. Hourani

Mathematics

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

Abstract

The current study establishes neutral fractional differential equation (NFDE) of Sobolev with finite delay. The probability density function (PDF) and Fixed Point Technique (FPT) are used to demonstrate the existence of the equation with nonlocal circumstances. The fractional theory is used to illustrate the convergence. We then use approximation techniques to arrive at a unique result. We also provide an application for analyzing theoretical results.

Original language	English
Article number	101018
Journal	Partial Differential Equations in Applied Mathematics
Volume	13
DOIs	https://doi.org/10.1016/j.padiff.2024.101018
State	Published - Mar 2025

Keywords

Fixed point techniques
Fractional calculus
Sobolev type

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10.1016/j.padiff.2024.101018

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title = "Discussions on Sobolev type Neutral Nonlocal fractional differential equation",

abstract = "The current study establishes neutral fractional differential equation (NFDE) of Sobolev with finite delay. The probability density function (PDF) and Fixed Point Technique (FPT) are used to demonstrate the existence of the equation with nonlocal circumstances. The fractional theory is used to illustrate the convergence. We then use approximation techniques to arrive at a unique result. We also provide an application for analyzing theoretical results.",

keywords = "Fixed point techniques, Fractional calculus, Sobolev type",

author = "K. Kaliraj and M. Manjula and E. Thilakraj and C. Ravichandran and Nisar, \{Kottakkaran Sooppy\} and El-Ebiary, \{Yousef A.Baker\} and Hourani, \{Ahmad O.\}",

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year = "2025",

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doi = "10.1016/j.padiff.2024.101018",

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journal = "Partial Differential Equations in Applied Mathematics",

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AU - Kaliraj, K.

AU - Manjula, M.

AU - Thilakraj, E.

AU - Ravichandran, C.

AU - Nisar, Kottakkaran Sooppy

AU - El-Ebiary, Yousef A.Baker

AU - Hourani, Ahmad O.

PY - 2025/3

Y1 - 2025/3

N2 - The current study establishes neutral fractional differential equation (NFDE) of Sobolev with finite delay. The probability density function (PDF) and Fixed Point Technique (FPT) are used to demonstrate the existence of the equation with nonlocal circumstances. The fractional theory is used to illustrate the convergence. We then use approximation techniques to arrive at a unique result. We also provide an application for analyzing theoretical results.

AB - The current study establishes neutral fractional differential equation (NFDE) of Sobolev with finite delay. The probability density function (PDF) and Fixed Point Technique (FPT) are used to demonstrate the existence of the equation with nonlocal circumstances. The fractional theory is used to illustrate the convergence. We then use approximation techniques to arrive at a unique result. We also provide an application for analyzing theoretical results.

KW - Fixed point techniques

KW - Fractional calculus

KW - Sobolev type

UR - https://www.scopus.com/pages/publications/85211345118

U2 - 10.1016/j.padiff.2024.101018

DO - 10.1016/j.padiff.2024.101018

M3 - Article

AN - SCOPUS:85211345118

SN - 2666-8181

VL - 13

JO - Partial Differential Equations in Applied Mathematics

JF - Partial Differential Equations in Applied Mathematics

M1 - 101018

ER -

Discussions on Sobolev type Neutral Nonlocal fractional differential equation

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Keywords

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