Modified Fractional Reduced Differential Transform Method for the Solution of Multiterm Time-Fractional Diffusion Equations

المؤلفون المشاركون

Hashim, Ishak
Abuasad, Salah
Abdul Karim, Samsul Ariffin

المصدر

Advances in Mathematical Physics

العدد

المجلد 2019، العدد 2019 (31 ديسمبر/كانون الأول 2019)، ص ص. 1-14، 14ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2019-05-02

دولة النشر

مصر

عدد الصفحات

14

التخصصات الرئيسية

الفيزياء

الملخص EN

In this study, we introduce a new modification of fractional reduced differential transform method (m-FRDTM) to find exact and approximate solutions for nonhomogeneous linear multiterm time-fractional diffusion equations (MT-TFDEs) of constant coefficients in a bounded domain with suitable initial conditions.

Different applications in two and three fractional order terms are given to illustrate our new modification.

The approximate solutions are given in the form of series solutions.

The results show that the m-FRDTM for MT-TFDEs is a powerful method and can be generalized to other types of multiterm time-fractional equations.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Abuasad, Salah& Hashim, Ishak& Abdul Karim, Samsul Ariffin. 2019. Modified Fractional Reduced Differential Transform Method for the Solution of Multiterm Time-Fractional Diffusion Equations. Advances in Mathematical Physics،Vol. 2019, no. 2019, pp.1-14.
https://search.emarefa.net/detail/BIM-1118972

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Abuasad, Salah…[et al.]. Modified Fractional Reduced Differential Transform Method for the Solution of Multiterm Time-Fractional Diffusion Equations. Advances in Mathematical Physics No. 2019 (2019), pp.1-14.
https://search.emarefa.net/detail/BIM-1118972

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Abuasad, Salah& Hashim, Ishak& Abdul Karim, Samsul Ariffin. Modified Fractional Reduced Differential Transform Method for the Solution of Multiterm Time-Fractional Diffusion Equations. Advances in Mathematical Physics. 2019. Vol. 2019, no. 2019, pp.1-14.
https://search.emarefa.net/detail/BIM-1118972

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-1118972