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.
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页码：489 / 506
页数：18
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