Results on neutral differential equation of sobolev type with nonlocal conditions

K. Kalimuthu; M. Mohan; R. Chokkalingam; N. Kottakkaran Sooppy

doi:10.1016/j.chaos.2022.112060

Results on neutral differential equation of sobolev type with nonlocal conditions

K. Kalimuthu
, M. Mohan
, R. Chokkalingam
, N. Kottakkaran Sooppy

Mathematics

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

8 Scopus citations

Abstract

In this work, we analyse the study of neutral fractional differential equation in an arbitrary Hilbert space. An associated integral equation is studied and approximate integral equation is obtained. We demonstrate the existence and uniqueness of an approximate solution by using analytic semigroup theory and the Fixed point method. In the application part, we discuss the approximation and the convergence results for such an approximation.

Original language	English
Article number	112060
Journal	Chaos, Solitons and Fractals
Volume	158
DOIs	https://doi.org/10.1016/j.chaos.2022.112060
State	Published - May 2022

Keywords

Analytic semigroup
Faedo Galerkin approximation
Fixed point theorem
Fractional differential equation
Nonlocal conditions
Sobolev type

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10.1016/j.chaos.2022.112060

Cite this

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title = "Results on neutral differential equation of sobolev type with nonlocal conditions",

abstract = "In this work, we analyse the study of neutral fractional differential equation in an arbitrary Hilbert space. An associated integral equation is studied and approximate integral equation is obtained. We demonstrate the existence and uniqueness of an approximate solution by using analytic semigroup theory and the Fixed point method. In the application part, we discuss the approximation and the convergence results for such an approximation.",

keywords = "Analytic semigroup, Faedo Galerkin approximation, Fixed point theorem, Fractional differential equation, Nonlocal conditions, Sobolev type",

author = "K. Kalimuthu and M. Mohan and R. Chokkalingam and \{Kottakkaran Sooppy\}, N.",

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AU - Kalimuthu, K.

AU - Mohan, M.

AU - Chokkalingam, R.

AU - Kottakkaran Sooppy, N.

PY - 2022/5

Y1 - 2022/5

N2 - In this work, we analyse the study of neutral fractional differential equation in an arbitrary Hilbert space. An associated integral equation is studied and approximate integral equation is obtained. We demonstrate the existence and uniqueness of an approximate solution by using analytic semigroup theory and the Fixed point method. In the application part, we discuss the approximation and the convergence results for such an approximation.

AB - In this work, we analyse the study of neutral fractional differential equation in an arbitrary Hilbert space. An associated integral equation is studied and approximate integral equation is obtained. We demonstrate the existence and uniqueness of an approximate solution by using analytic semigroup theory and the Fixed point method. In the application part, we discuss the approximation and the convergence results for such an approximation.

KW - Analytic semigroup

KW - Faedo Galerkin approximation

KW - Fixed point theorem

KW - Fractional differential equation

KW - Nonlocal conditions

KW - Sobolev type

UR - https://www.scopus.com/pages/publications/85127806904

U2 - 10.1016/j.chaos.2022.112060

DO - 10.1016/j.chaos.2022.112060

M3 - Article

AN - SCOPUS:85127806904

SN - 0960-0779

VL - 158

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

M1 - 112060

ER -

Results on neutral differential equation of sobolev type with nonlocal conditions

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Keywords

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