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Tarate, Shivaji, Bhadane, Ashok, Gaikwad, Shrikisan, Kshirsagar, Kishor. (1402). Solution of time-fractional equations via Sumudu-Adomian decomposition method. سامانه مدیریت نشریات علمی, 11(2), 345-356. doi: 10.22034/cmde.2022.51421.2139
Shivaji Ashok Tarate; Ashok P Bhadane; Shrikisan B Gaikwad; Kishor Ashok Kshirsagar. "Solution of time-fractional equations via Sumudu-Adomian decomposition method". سامانه مدیریت نشریات علمی, 11, 2, 1402, 345-356. doi: 10.22034/cmde.2022.51421.2139
Tarate, Shivaji, Bhadane, Ashok, Gaikwad, Shrikisan, Kshirsagar, Kishor. (1402). 'Solution of time-fractional equations via Sumudu-Adomian decomposition method', سامانه مدیریت نشریات علمی, 11(2), pp. 345-356. doi: 10.22034/cmde.2022.51421.2139
Tarate, Shivaji, Bhadane, Ashok, Gaikwad, Shrikisan, Kshirsagar, Kishor. Solution of time-fractional equations via Sumudu-Adomian decomposition method. سامانه مدیریت نشریات علمی, 1402; 11(2): 345-356. doi: 10.22034/cmde.2022.51421.2139

Solution of time-fractional equations via Sumudu-Adomian decomposition method

Computational Methods for Differential Equations
مقاله 11، دوره 11، شماره 2، تیر 2023، صفحه 345-356    اصل مقاله (3.39 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2022.51421.2139
نویسندگان
Shivaji Ashok Tarate* 1؛ Ashok P Bhadane2؛ Shrikisan B Gaikwad1؛ Kishor Ashok Kshirsagar1
1Department of Mathematics, New Arts, Commerce and Science College, Ahmednagar, Maharashtra, India.
2Department of Mathematics, Loknete Vyankatrao Hiray Arts‚ Science and Commerce College, Nashik, Maharashtra, India
چکیده
This paper investigates the semi-analytical solutions of linear and non-linear Time Fractional Klein-Gordon equations with appropriate initial conditions to apply the New Sumudu-Adomian Decomposition method (NSADM). This paper shows the semi-analytical as well as a graphical interpretation of the solution by using mathematical software “Mathematica Wolform” and considering Caputo’s sense derivatives to semi-analytical results obtained by NSADM. 
کلیدواژه‌ها
Klein-Gordon equation of fractional order؛ Adomian Decomposition method؛ Sumudu Transform؛ Caputo-derivative
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