Existence and uniqueness results for generalized fractional integrodifferential equations with nonlocal terminal condition

被引：0

作者：

Kharat, Vinod Vijaykumar ^{[1
]}

Reshimkar, Anand Rajshekhar ^{[2
]}

Kazi, Mansoorali A. Aziz ^{[1
]}

Gophane, Machchhindra Tolaji ^{[3
]}

机构：

[1] N B N Sinhgad Coll Engn, Dept Math, Solapur 413255, India

[2] D B F Dayanand Coll Arts & Sci, Dept Math, Solapur 413002, India

[3] Shivaji Univ, Dept Math, Kolhapur 416004, India

来源：

COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS | 2024年 / 12卷 / 01期

关键词：

Generalized fractional derivative; Fractional integrodifferential equation; Terminal condition; Schauder fixed point theorem; DIFFERENTIAL-EQUATIONS;

D O I：

10.22034/cmde.2023.53224.2243

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, we give results on the existence and uniqueness of solutions for generalized fractional integrodifferential equations with a nonlocal terminal condition. We have proved the existence of solutions to the problem proposed using the Schauder fixed point theorem and the uniqueness of its solutions is proved using the Banach fixed point theorem. At the end, we discussed the examples to support our results.

引用

页码：89 / 99

页数：11

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