Neamaty, A., Agheli, B., Darzi, R. (2013). New Integral Transform for Solving Nonlinear Partial Dierential Equations of fractional order. Theory of Approximation and Applications, 10(1), 69-86.

A. Neamaty; B. Agheli; R. Darzi. "New Integral Transform for Solving Nonlinear Partial Dierential Equations of fractional order". Theory of Approximation and Applications, 10, 1, 2013, 69-86.

Neamaty, A., Agheli, B., Darzi, R. (2013). 'New Integral Transform for Solving Nonlinear Partial Dierential Equations of fractional order', Theory of Approximation and Applications, 10(1), pp. 69-86.

Neamaty, A., Agheli, B., Darzi, R. New Integral Transform for Solving Nonlinear Partial Dierential Equations of fractional order. Theory of Approximation and Applications, 2013; 10(1): 69-86.

New Integral Transform for Solving Nonlinear Partial Dierential Equations of fractional order

^{1}Department of Mathematics, University of Mazandaran, Babolsar, Iran

^{2}Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran

^{3}Department of Mathematics, Neka Branch, Islamic Azad University, Neka, Iran

Abstract

In this work, we have applied Elzaki transform and He's homotopy perturbation method to solve partial dierential equation (PDEs) with time-fractional derivative. With help He's homotopy per- turbation, we can handle the nonlinear terms. Further, we have applied this suggested He's homotopy perturbation method in order to reformulate initial value problem. Some illustrative examples are given in order to show the ability and simplicity of the approach. All numerical calculations in this manuscript were performed on a PC applying some programs written in Maple.

Article Title [Persian]

New Integral Transform for Solving
Nonlinear Partial Dierential Equations of
fractional order

Authors [Persian]

A. Neamaty^{1}; B. Agheli^{2}; R. Darzi^{3}

^{1}Department of Mathematics, University of Mazandaran, Babolsar, Iran

^{2}Department of Mathematics, Qaemshahr Branch, Islamic Azad University,
Qaemshahr, Iran

^{3}Department of Mathematics, Neka Branch, Islamic Azad University, Neka,
Iran

Abstract [Persian]

In this work, we have applied Elzaki transform and He's homotopy perturbation method to solve partial dierential equation (PDEs) with time-fractional derivative. With help He's homotopy per- turbation, we can handle the nonlinear terms. Further, we have applied this suggested He's homotopy perturbation method in order to reformulate initial value problem. Some illustrative examples are given in order to show the ability and simplicity of the approach. All numerical calculations in this manuscript were performed on a PC applying some programs written in Maple.

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