A nonlocal Cauchy problem for nonlinear generalized fractional integro-differential equations

被引：0

作者：

Kharat, Vinod V. ^{[1
]}

Tate, Shivaji ^{[2
]}

Reshimkar, Anand Rajshekhar ^{[3
]}

机构：

[1] NB Navale Sinhgad Coll Engn, Dept Math, Kegaon, Solapur, India

[2] Kisan Veer Mahavidyalaya, Dept Math, Wai, India

[3] DBF Dayanand Coll Arts & Sci, Dept Math, Solapur, India

来源：

STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA | 2023年 / 68卷 / 03期

关键词：

Fractional derivative; fractional integration; fractional integro-diffe-rential equation; existence of solution; fxed point theorem; DIFFERENTIAL-EQUATIONS; EXISTENCE;

D O I：

10.24193/subbmath.2023.3.03

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the existence of solutions of a nonlocal Cauchy problem for nonlinear fractional integro-differential equations involving general-ized Katugampola fractional derivative. By using fxed point theorems, the results are obtained in weighted space of continuous functions. In the last, results are illustrated with suitable examples.

引用

页码：489 / 506

页数：18

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