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

被引：4

作者：

Raja, Marimuthu Mohan ^{[1
]}

Vijayakumar, Velusamy ^{[1
]}

Shukla, Anurag ^{[2
]}

Nisar, Kottakkaran Sooppy ^{[3
]}

Rezapour, Shahram ^{[4
,5
]}

机构：

[1] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632014, Tamil Nadu, India

[2] Rajkiya Engn Coll Kannauj, Dept Appl Sci, Kannauj 209732, India

[3] Prince Sattam Bin Abdulaziz Univ, Coll Arts & Sci, Dept Math, Wadi Aldawaser 11991, Saudi Arabia

[4] Azarbaijan Shahid Madani Univ, Dept Math, Tabriz, Iran

[5] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan

来源：

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2023年 / 24卷 / 06期

关键词：

cosine families; fractional evolution inclusions; Mainardi's Wright-type function; multivalued map; nonlocal conditions; DIFFERENTIAL-EQUATIONS; APPROXIMATE CONTROLLABILITY;

D O I：

10.1515/ijnsns-2021-0368

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This manuscript investigates the issue of existence results for fractional differential evolution inclusions of order r is an element of (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 is an element of (1, 2). Finally, a concrete application is given to illustrate our main results.

引用

页码：2047 / 2060

页数：14

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