New Study of Weakly Singular Kernel Fractional Fourth-Order Partial Integro-Differential Equations Based on the Optimum Q-Homotopic Analysis Method

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Abstract

In this study, the optimum q-homotopic analysis method is employed to solve fourth order partial integro-differential equations with high-order non-integer derivatives. Several specific and clear examples are also given to illustrate the simplicity and capacity of the proposed approach. All of the computations were performed using Mathematica. (C) 2017 Elsevier B.V. All rights reserved.

Description

Agheli, Bahram/0000-0003-2084-4158

Keywords

Caputo Derivative, Nonlinear Fractional Partial Integro-Differential Equation, Optimal Q-Homotopic Analysis Method

Fields of Science

0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 0101 mathematics, 01 natural sciences

Citation

Baleanu, Dumitru; Darzi, Rahmat; Aglehi, Bahram, "New study of weakly singular kernel fractional fourth-order partial integro-differential equations based on the optimum q-homotopic analysis method", Journal Of Computational And Applied Mathematics, Vol.320, pp.193-201, (2017).

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16

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320

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193

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201
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17

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