eprintid: 12159 rev_number: 2 eprint_status: archive userid: 1 dir: disk0/00/01/21/59 datestamp: 2023-11-10 03:26:42 lastmod: 2023-11-10 03:26:42 status_changed: 2023-11-10 01:17:01 type: article metadata_visibility: show creators_name: Abuasad, S. creators_name: Hashim, I. creators_name: Abdul Karim, S.A. title: Modified Fractional Reduced Differential Transform Method for the Solution of Multiterm Time-Fractional Diffusion Equations ispublished: pub note: cited By 23 abstract: 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. © 2019 Salah Abuasad et al. date: 2019 publisher: Hindawi Limited official_url: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85066055597&doi=10.1155%2f2019%2f5703916&partnerID=40&md5=126e738ee459d5a6ad4a89a443e3c306 id_number: 10.1155/2019/5703916 full_text_status: none publication: Advances in Mathematical Physics volume: 2019 refereed: TRUE issn: 16879120 citation: Abuasad, S. and Hashim, I. and Abdul Karim, S.A. (2019) Modified Fractional Reduced Differential Transform Method for the Solution of Multiterm Time-Fractional Diffusion Equations. Advances in Mathematical Physics, 2019. ISSN 16879120