ON THE EXISTENCE AND STABILITY OF BOUNDARY VALUE PROBLEM FOR DIFFERENTIAL EQUATION WITH HILFER-KATUGAMPOLA FRACTIONAL DERIVATIVE

doi:10.1007/s10473-019-0608-5

数学物理学报(英文版) ›› 2019, Vol. 39 ›› Issue (6): 1568-1578.doi: 10.1007/s10473-019-0608-5

ON THE EXISTENCE AND STABILITY OF BOUNDARY VALUE PROBLEM FOR DIFFERENTIAL EQUATION WITH HILFER-KATUGAMPOLA FRACTIONAL DERIVATIVE

E. M. ELSAYED^1,2, S. HARIKRISHNAN³, K. KANAGARAJAN³

1. Mathematics Department, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia;
2. Department of Mathematics, Faculty of Science Mansoura University, Mansoura 35516, Egypt;
3. Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore-641020, Tamilnadu, India

收稿日期:2018-07-17 修回日期:2019-02-11 出版日期:2019-12-25 发布日期:2019-12-30
通讯作者: E. M. ELSAYED,E-mail:emmelsayed@yahoo.com E-mail:emmelsayed@yahoo.com
作者简介:S. HARIKRISHNAN,E-mail:hkkhari1@gmail.com;K. KANAGARAJAN,E-mail:kanagarajank@gmail.com
基金资助:
This project was funded by the Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah, Saudi Arabia under grant no. KEP-Msc-9-130-39.

ON THE EXISTENCE AND STABILITY OF BOUNDARY VALUE PROBLEM FOR DIFFERENTIAL EQUATION WITH HILFER-KATUGAMPOLA FRACTIONAL DERIVATIVE

E. M. ELSAYED^1,2, S. HARIKRISHNAN³, K. KANAGARAJAN³

1. Mathematics Department, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia;
2. Department of Mathematics, Faculty of Science Mansoura University, Mansoura 35516, Egypt;
3. Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore-641020, Tamilnadu, India

Received:2018-07-17 Revised:2019-02-11 Online:2019-12-25 Published:2019-12-30
Contact: E. M. ELSAYED,E-mail:emmelsayed@yahoo.com E-mail:emmelsayed@yahoo.com
Supported by:
This project was funded by the Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah, Saudi Arabia under grant no. KEP-Msc-9-130-39.

摘要/Abstract

摘要： In this paper, we discuss the existence, uniqueness and stability of boundary value problem for differential equation with Hilfer-Katugampola fractional derivative. The arguments are based upon Schaefer's fixed point theorem, Banach contraction principle and Ulam type stability.

关键词: Hilfer-Katugampola fractional derivative, boundary condition, existence, Ulam stability

Abstract: In this paper, we discuss the existence, uniqueness and stability of boundary value problem for differential equation with Hilfer-Katugampola fractional derivative. The arguments are based upon Schaefer's fixed point theorem, Banach contraction principle and Ulam type stability.

Key words: Hilfer-Katugampola fractional derivative, boundary condition, existence, Ulam stability

中图分类号:

26A33

E. M. ELSAYED, S. HARIKRISHNAN, K. KANAGARAJAN. ON THE EXISTENCE AND STABILITY OF BOUNDARY VALUE PROBLEM FOR DIFFERENTIAL EQUATION WITH HILFER-KATUGAMPOLA FRACTIONAL DERIVATIVE[J]. 数学物理学报(英文版), 2019, 39(6): 1568-1578.

E. M. ELSAYED, S. HARIKRISHNAN, K. KANAGARAJAN. ON THE EXISTENCE AND STABILITY OF BOUNDARY VALUE PROBLEM FOR DIFFERENTIAL EQUATION WITH HILFER-KATUGAMPOLA FRACTIONAL DERIVATIVE[J]. Acta mathematica scientia,Series B, 2019, 39(6): 1568-1578.

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ON THE EXISTENCE AND STABILITY OF BOUNDARY VALUE PROBLEM FOR DIFFERENTIAL EQUATION WITH HILFER-KATUGAMPOLA FRACTIONAL DERIVATIVE

ON THE EXISTENCE AND STABILITY OF BOUNDARY VALUE PROBLEM FOR DIFFERENTIAL EQUATION WITH HILFER-KATUGAMPOLA FRACTIONAL DERIVATIVE

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