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Solvability of hyperbolic fractional partial differential equations |
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| Authors: | Aruchamy Akilandeeswari Krishnan Balachandran and Natarajan Annapoorani |
| Institution: | Department\ of\ \,Mathematics,\ \,Bharathiar\ University,\ \,Coimbatore\,-\,641046,\ Tamil Nadu, India,Department\ of\ \,Mathematics,\ \,Bharathiar\ University,\ \,Coimbatore\,-\,641046,\ Tamil Nadu, India and Department\ of\ \,Mathematics,\ \,Bharathiar\ University,\ \,Coimbatore\,-\,641046,\ Tamil Nadu, India |
| 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. |
| Keywords: | Existence and uniqueness fractional derivatives and integrals hyperbolic equations a priori estimates Adomian decomposition method |
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