SOLVABILITY OF HYPERBOLIC FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS

Aruchamy Akilandeeswariy; Krishnan Balachandran; Natarajan Annapoorani

doi:10.11948/2017095

2017 Volume 7 Issue 4

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Aruchamy Akilandeeswariy, Krishnan Balachandran, Natarajan Annapoorani. SOLVABILITY OF HYPERBOLIC FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS[J]. Journal of Applied Analysis & Computation, 2017, 7(4): 1570-1585. doi: 10.11948/2017095

Citation:

Aruchamy Akilandeeswariy, Krishnan Balachandran, Natarajan Annapoorani. SOLVABILITY OF HYPERBOLIC FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS[J]. Journal of Applied Analysis & Computation, 2017, 7(4): 1570-1585. doi: 10.11948/2017095

SOLVABILITY OF HYPERBOLIC FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS

Department of Mathematics, Bharathiar University, Coimbatore-641046, Tamil Nadu, India

Abstract

Abstract

The main purpose of this paper is to study the existence and uniqueness of solutions for the hyperbolic fractional differential equations with integral conditions. Under suitable assumptions, the results are established by using an energy integral method which is based on constructing an appropriate multiplier. Further we find the solution of the hyperbolic fractional differential equations using Adomian decomposition method. Examples are provided to illustrate the theory.
- Existence and uniqueness /
- fractional derivatives and integrals /
- hyperbolic equations /
- a priori estimates /
- Adomian decomposition method
MSC: 34A12;26A33;58J45;35B45;49M27

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