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
收藏
页码：489 / 506
页数：18
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