Discussions on Sobolev type Neutral Nonlocal fractional differential equation

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.

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Publication Details

Journal
Partial Differential Equations in Applied Mathematics
Published
2024-12-06
DOI
https://doi.org/10.1016/j.padiff.2024.101018
Primary Topic
Nonlinear Differential Equations Analysis
Type
article
Field-Weighted Citation Impact
0.00

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Discussions on Sobolev type Neutral Nonlocal fractional differential equation

M. Manjula, K. Kaliraj, E. Thilakraj, Kottakkaran Sooppy Nisar et al.
Partial Differential Equations in Applied Mathematics
Nonlinear Differential Equations Analysis
article

Discussions on Sobolev type Neutral Nonlocal fractional differential equation

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

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.

Partial Differential Equations in Applied MathematicsVol. 13
Al-Ahliyya Amman University (JO), Prince Sattam Bin Abdulaziz University (SA), University of Madras (IN), Guru Nanak Institutions (IN), Sultan Zainal Abidin University (MY)
Prince Sattam bin Abdulaziz University
Openalex Percentile: Top 63%
Nonlinear Differential Equations Analysis
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