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STUDIA MATHEMATICA - Issue no. 4 / 2012 | |||||||
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FRACTIONAL ORDER PARTIAL HYPERBOLIC DIFFERENTIAL EQUATIONS INVOLVING CAPUTO’S DERIVATIVE. Authors: . |
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Abstract: In the present paper we investigate the existence and uniqueness of solutions of the Darboux problem for the initial value problems (IVP for short), for some classes of hyperbolic fractional order differential equations by using some fixed point theorems. Mathematics Subject Classification (2010): 26A33. Keywords: Partial hyperbolic differential equation, fractional order, left-sided mixed Riemann-Liouville integral, Caputo fractional-order derivative, solution, fixed point. |
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