Investigating existence results for fractional evolution inclusions with order r ∈ (1, 2) in Banach space

Marimuthu Mohan Raja; Velusamy Vijayakumar; Anurag Shukla; Kottakkaran Sooppy Nisar; Shahram Rezapour

doi:10.1515/ijnsns-2021-0368

Investigating existence results for fractional evolution inclusions with order r ∈ (1, 2) in Banach space

Marimuthu Mohan Raja
, Velusamy Vijayakumar
, Anurag Shukla
, Kottakkaran Sooppy Nisar
, Shahram Rezapour

Mathematics

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

8 Scopus citations

Abstract

This manuscript investigates the issue of existence results for fractional differential evolution inclusions of order r ∈ (1, 2) in the Banach space. In the beginning, we analyze the existence results by referring to the fractional calculations, cosine families, multivalued function, and Martelli's fixed point theorem. The result is also used to investigate the existence of nonlocal fractional evolution inclusions of order r ∈ (1, 2). Finally, a concrete application is given to illustrate our main results.

Original language	English
Pages (from-to)	2047-2060
Number of pages	14
Journal	International Journal of Nonlinear Sciences and Numerical Simulation
Volume	24
Issue number	6
DOIs	https://doi.org/10.1515/ijnsns-2021-0368
State	Published - 1 Oct 2023

Keywords

Mainardi's Wright-type function
cosine families
fractional evolution inclusions
multivalued map
nonlocal conditions

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10.1515/ijnsns-2021-0368

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title = "Investigating existence results for fractional evolution inclusions with order r ∈ (1, 2) in Banach space",

abstract = "This manuscript investigates the issue of existence results for fractional differential evolution inclusions of order r ∈ (1, 2) in the Banach space. In the beginning, we analyze the existence results by referring to the fractional calculations, cosine families, multivalued function, and Martelli's fixed point theorem. The result is also used to investigate the existence of nonlocal fractional evolution inclusions of order r ∈ (1, 2). Finally, a concrete application is given to illustrate our main results.",

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T1 - Investigating existence results for fractional evolution inclusions with order r ∈ (1, 2) in Banach space

AU - Mohan Raja, Marimuthu

AU - Vijayakumar, Velusamy

AU - Shukla, Anurag

AU - Nisar, Kottakkaran Sooppy

AU - Rezapour, Shahram

PY - 2023/10/1

Y1 - 2023/10/1

N2 - This manuscript investigates the issue of existence results for fractional differential evolution inclusions of order r ∈ (1, 2) in the Banach space. In the beginning, we analyze the existence results by referring to the fractional calculations, cosine families, multivalued function, and Martelli's fixed point theorem. The result is also used to investigate the existence of nonlocal fractional evolution inclusions of order r ∈ (1, 2). Finally, a concrete application is given to illustrate our main results.

AB - This manuscript investigates the issue of existence results for fractional differential evolution inclusions of order r ∈ (1, 2) in the Banach space. In the beginning, we analyze the existence results by referring to the fractional calculations, cosine families, multivalued function, and Martelli's fixed point theorem. The result is also used to investigate the existence of nonlocal fractional evolution inclusions of order r ∈ (1, 2). Finally, a concrete application is given to illustrate our main results.

KW - Mainardi's Wright-type function

KW - cosine families

KW - fractional evolution inclusions

KW - multivalued map

KW - nonlocal conditions

UR - https://www.scopus.com/pages/publications/85142176330

U2 - 10.1515/ijnsns-2021-0368

DO - 10.1515/ijnsns-2021-0368

M3 - Article

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VL - 24

SP - 2047

EP - 2060

JO - International Journal of Nonlinear Sciences and Numerical Simulation

JF - International Journal of Nonlinear Sciences and Numerical Simulation

IS - 6

ER -

Investigating existence results for fractional evolution inclusions with order r ∈ (1, 2) in Banach space

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Keywords

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