Existence results of Atangana-Baleanu fractional integro-differential inclusions of Sobolev type

V. Vijayaraj; C. Ravichandran; Panumart Sawangtong; Kottakkaran Sooppy Nisar

doi:10.1016/j.aej.2022.11.037

Existence results of Atangana-Baleanu fractional integro-differential inclusions of Sobolev type

V. Vijayaraj
, C. Ravichandran
, Panumart Sawangtong
, Kottakkaran Sooppy Nisar

Mathematics

Bharathiar University
King Mongkut's University of Technology North Bangkok

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

14 Scopus citations

Abstract

In this article, we scrutinise the study of the existence of Sobolev type Atangana-Baleanu fractional integro-differential inclusions in Banach space. The results are gained by using Martelli's fixed point theorem and ρ-resolvent operators. An example is given for theoretical result.

Original language	English
Pages (from-to)	249-255
Number of pages	7
Journal	Alexandria Engineering Journal
Volume	66
DOIs	https://doi.org/10.1016/j.aej.2022.11.037
State	Published - 1 Mar 2023

Keywords

Fractional calculus
Inclusion
Martelli's Fixed point theorem
Sobolev type

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10.1016/j.aej.2022.11.037

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abstract = "In this article, we scrutinise the study of the existence of Sobolev type Atangana-Baleanu fractional integro-differential inclusions in Banach space. The results are gained by using Martelli's fixed point theorem and ρ-resolvent operators. An example is given for theoretical result.",

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author = "V. Vijayaraj and C. Ravichandran and Panumart Sawangtong and Nisar, \{Kottakkaran Sooppy\}",

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AU - Vijayaraj, V.

AU - Ravichandran, C.

AU - Sawangtong, Panumart

AU - Nisar, Kottakkaran Sooppy

PY - 2023/3/1

Y1 - 2023/3/1

N2 - In this article, we scrutinise the study of the existence of Sobolev type Atangana-Baleanu fractional integro-differential inclusions in Banach space. The results are gained by using Martelli's fixed point theorem and ρ-resolvent operators. An example is given for theoretical result.

AB - In this article, we scrutinise the study of the existence of Sobolev type Atangana-Baleanu fractional integro-differential inclusions in Banach space. The results are gained by using Martelli's fixed point theorem and ρ-resolvent operators. An example is given for theoretical result.

KW - Fractional calculus

KW - Inclusion

KW - Martelli's Fixed point theorem

KW - Sobolev type

UR - https://www.scopus.com/pages/publications/85144343282

U2 - 10.1016/j.aej.2022.11.037

DO - 10.1016/j.aej.2022.11.037

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AN - SCOPUS:85144343282

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VL - 66

SP - 249

EP - 255

JO - Alexandria Engineering Journal

JF - Alexandria Engineering Journal

ER -

Existence results of Atangana-Baleanu fractional integro-differential inclusions of Sobolev type

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Keywords

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