SOLVABILITY OF HYPERBOLIC FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS
Copyright policy )SOLVABILITY OF HYPERBOLIC FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS
Summary: 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.
Decomposition methods, Fractional derivatives and integrals, Hyperbolic equations on manifolds, Adomian decomposition method, Initial-boundary value problems for second-order hyperbolic equations, fractional derivatives and integrals, Fractional partial differential equations, A priori estimates in context of PDEs, existence and uniqueness
Decomposition methods, Fractional derivatives and integrals, Hyperbolic equations on manifolds, Adomian decomposition method, Initial-boundary value problems for second-order hyperbolic equations, fractional derivatives and integrals, Fractional partial differential equations, A priori estimates in context of PDEs, existence and uniqueness
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