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

doi:10.1007/s10473-019-0608-5

Acta mathematica scientia,Series B ›› 2019, Vol. 39 ›› Issue (6): 1568-1578.doi: 10.1007/s10473-019-0608-5

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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.

Abstract

CLC Number:

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].Acta mathematica scientia,Series B, 2019, 39(6): 1568-1578.

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References

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

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