EXISTENCE OF SOLUTIONS OF GENERALIZED FRACTIONAL DIFFERENTIAL EQUATION WITH NONLOCAL INITIAL CONDITION

被引：12

作者：

Bhairat, Sandeep P. ^{[1
]}

Dhaigude, Dnyanoba-bhaurao ^{[2
]}

机构：

[1] Inst Chem Technol, Dept Math, Nathalal Parekh Marg, Mumbai 400019, Maharashtra, India

[2] Dr Babasaheb Ambedkar Marathwada Univ, Dept Math, Univ Campus, Aurangabad 431004, Maharashtra, India

来源：

MATHEMATICA BOHEMICA | 2019年 / 144卷 / 02期

关键词：

fractional derivative; fractional integral; existence of solution; fractional differential equation; fixed point theorem; CALCULUS;

D O I：

10.21136/MB.2018.0135-17

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is devoted to studying the existence of solutions of a nonlocal initial value problem involving generalized Katugampola fractional derivative. By using fixed point theorems, the results are obtained in weighted space of continuous functions. Illustrative examples are also given.

引用

页码：203 / 220

页数：18

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