An analytical approach for systems of fractional differential equations by means of the innovative homotopy perturbation method
Mathematica Moravica, Tome 22 (2018) no. 1.
Voir la notice de l'article dans eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
We have applied the new approach of homotopy perturbation method (NAHPM) for partial differential system equations featuring time-fractional derivative. The Caputo-type of fractional derivative is considered in this paper. A combination of NAHPM and multiple fractional power series form has been used the first time to present analytical solution. In order to illustrate the simplicity and ability of the suggested approach, some specific and clear examples have been given. All numerical calculations in this manuscript have been carried out with Mathematica.
Mots-clés :
System of fractional differential equations, new homotopy perturbation method, Caputo derivative
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TY - JOUR AU - Rahmat Darzi AU - Bahram Agheli TI - An analytical approach for systems of fractional differential equations by means of the innovative homotopy perturbation method JO - Mathematica Moravica PY - 2018 SP - 93 EP - 105 VL - 22 IS - 1 PB - mathdoc UR - https://geodesic-test.mathdoc.fr/item/MM3_2018_22_1_a7/ ID - MM3_2018_22_1_a7 ER -
%0 Journal Article %A Rahmat Darzi %A Bahram Agheli %T An analytical approach for systems of fractional differential equations by means of the innovative homotopy perturbation method %J Mathematica Moravica %D 2018 %P 93 - 105 %V 22 %N 1 %I mathdoc %U https://geodesic-test.mathdoc.fr/item/MM3_2018_22_1_a7/ %F MM3_2018_22_1_a7
Rahmat Darzi; Bahram Agheli. An analytical approach for systems of fractional differential equations by means of the innovative homotopy perturbation method. Mathematica Moravica, Tome 22 (2018) no. 1. https://geodesic-test.mathdoc.fr/item/MM3_2018_22_1_a7/