A GENERAL STUDY ON RANDOM INTEGRO-DIFFERENTIAL EQUATIONS OF ARBITRARY ORDER

K. Kanagarajan; E. M. Elsayed; S. Harikrishnan

doi:10.11948/2156-907X.20180260

2019 Volume 9 Issue 4

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K. Kanagarajan, E. M. Elsayed, S. Harikrishnan. A GENERAL STUDY ON RANDOM INTEGRO-DIFFERENTIAL EQUATIONS OF ARBITRARY ORDER[J]. Journal of Applied Analysis & Computation, 2019, 9(4): 1407-1424. doi: 10.11948/2156-907X.20180260

Citation:

K. Kanagarajan, E. M. Elsayed, S. Harikrishnan. A GENERAL STUDY ON RANDOM INTEGRO-DIFFERENTIAL EQUATIONS OF ARBITRARY ORDER[J]. Journal of Applied Analysis & Computation, 2019, 9(4): 1407-1424. doi: 10.11948/2156-907X.20180260

A GENERAL STUDY ON RANDOM INTEGRO-DIFFERENTIAL EQUATIONS OF ARBITRARY ORDER

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

Corresponding author: Email address:hkkhari1@gmail.com(S. Harikrishnan)

Abstract

Abstract

Here the broad study is depending on random integro-differential equations (RIDE) of arbitrary order. The fractional order is in terms of ψ-Hilfer fractional operator. This work reveals the dynamical behaviour such as existence, uniqueness and stability solutions for RIDE involving fractional order. Thus initial value problem (IVP), boundary value problem (BVP), impulsive effect and nonlocal conditions are taken in account to prove the results.
- Random differential equations /
- fractional derivative /
- stability
MSC: 37H10, 26A33, 37J25

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References

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