Solving fuzzy fractional IVPs of order 2β by residual power series algorithm

Ma'Mon Abu Hammad; Mohammad Alaroud; Omar Abu Arqub; Reem Edwan; Mohammed Al-Smadi; Shaher Momani

doi:10.1109/JEEIT.2019.8717378

Solving fuzzy fractional IVPs of order 2β by residual power series algorithm

Ma'Mon Abu Hammad
, Mohammad Alaroud
, Omar Abu Arqub
, Reem Edwan
, Mohammed Al-Smadi
, Shaher Momani

Al-Zaytoonah University of Jordan
Universiti Kebangsaan Malaysia
University of Jordan
Taibah University
Al-Balqa Applied University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

5 Scopus citations

Abstract

In this paper, an efficient numeric-analytic algorithm has been applied based on the residual power series approach to solve fuzzy fractional initial value problems of order 2\beta, 0\beta\leq 1, under the strongly generalized differentiability. The present method relies basically upon the concept of the residual functions and generalized Taylor formula that constructs analytical and approximate solutions in the form of rapidly convergent series according to their parametric form. To validate the efficiency, reliability, and applicability of the proposed approach, the experimental data has been presented.

Original language	English
Title of host publication	2019 IEEE Jordan International Joint Conference on Electrical Engineering and Information Technology, JEEIT 2019 - Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	52-57
Number of pages	6
ISBN (Electronic)	9781538679425
DOIs	https://doi.org/10.1109/JEEIT.2019.8717378
State	Published - 16 May 2019
Externally published	Yes
Event	2019 IEEE Jordan International Joint Conference on Electrical Engineering and Information Technology, JEEIT 2019 - Amman, Jordan Duration: 9 Apr 2019 → 11 Apr 2019

Publication series

Name	2019 IEEE Jordan International Joint Conference on Electrical Engineering and Information Technology, JEEIT 2019 - Proceedings

Conference

Conference	2019 IEEE Jordan International Joint Conference on Electrical Engineering and Information Technology, JEEIT 2019
Country/Territory	Jordan
City	Amman
Period	9/04/19 → 11/04/19

Keywords

Caputo fractional derivative
Fuzzy fractional initial value problems
Residual power series algorithm
Strongly generalized differentiability

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10.1109/JEEIT.2019.8717378

Cite this

Hammad, MM. A., Alaroud, M., Arqub, O. A., Edwan, R., Al-Smadi, M., & Momani, S. (2019). Solving fuzzy fractional IVPs of order 2β by residual power series algorithm. In 2019 IEEE Jordan International Joint Conference on Electrical Engineering and Information Technology, JEEIT 2019 - Proceedings (pp. 52-57). Article 8717378 (2019 IEEE Jordan International Joint Conference on Electrical Engineering and Information Technology, JEEIT 2019 - Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/JEEIT.2019.8717378

Hammad, Ma'Mon Abu ; Alaroud, Mohammad ; Arqub, Omar Abu et al. / Solving fuzzy fractional IVPs of order 2β by residual power series algorithm. 2019 IEEE Jordan International Joint Conference on Electrical Engineering and Information Technology, JEEIT 2019 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2019. pp. 52-57 (2019 IEEE Jordan International Joint Conference on Electrical Engineering and Information Technology, JEEIT 2019 - Proceedings).

@inproceedings{ff52c18141f4431796fc56543639288e,

title = "Solving fuzzy fractional IVPs of order 2β by residual power series algorithm",

abstract = "In this paper, an efficient numeric-analytic algorithm has been applied based on the residual power series approach to solve fuzzy fractional initial value problems of order 2\textbackslash{}beta, 0\textbackslash{}beta\textbackslash{}leq 1, under the strongly generalized differentiability. The present method relies basically upon the concept of the residual functions and generalized Taylor formula that constructs analytical and approximate solutions in the form of rapidly convergent series according to their parametric form. To validate the efficiency, reliability, and applicability of the proposed approach, the experimental data has been presented.",

keywords = "Caputo fractional derivative, Fuzzy fractional initial value problems, Residual power series algorithm, Strongly generalized differentiability",

author = "Hammad, \{Ma'Mon Abu\} and Mohammad Alaroud and Arqub, \{Omar Abu\} and Reem Edwan and Mohammed Al-Smadi and Shaher Momani",

note = "Publisher Copyright: {\textcopyright} 2019 IEEE.; 2019 IEEE Jordan International Joint Conference on Electrical Engineering and Information Technology, JEEIT 2019 ; Conference date: 09-04-2019 Through 11-04-2019",

year = "2019",

month = may,

day = "16",

doi = "10.1109/JEEIT.2019.8717378",

language = "English",

series = "2019 IEEE Jordan International Joint Conference on Electrical Engineering and Information Technology, JEEIT 2019 - Proceedings",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "52--57",

booktitle = "2019 IEEE Jordan International Joint Conference on Electrical Engineering and Information Technology, JEEIT 2019 - Proceedings",

address = "United States",

}

Hammad, MMA, Alaroud, M, Arqub, OA, Edwan, R, Al-Smadi, M & Momani, S 2019, Solving fuzzy fractional IVPs of order 2β by residual power series algorithm. in 2019 IEEE Jordan International Joint Conference on Electrical Engineering and Information Technology, JEEIT 2019 - Proceedings., 8717378, 2019 IEEE Jordan International Joint Conference on Electrical Engineering and Information Technology, JEEIT 2019 - Proceedings, Institute of Electrical and Electronics Engineers Inc., pp. 52-57, 2019 IEEE Jordan International Joint Conference on Electrical Engineering and Information Technology, JEEIT 2019, Amman, Jordan, 9/04/19. https://doi.org/10.1109/JEEIT.2019.8717378

Solving fuzzy fractional IVPs of order 2β by residual power series algorithm. / Hammad, Ma'Mon Abu; Alaroud, Mohammad; Arqub, Omar Abu et al.
2019 IEEE Jordan International Joint Conference on Electrical Engineering and Information Technology, JEEIT 2019 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2019. p. 52-57 8717378 (2019 IEEE Jordan International Joint Conference on Electrical Engineering and Information Technology, JEEIT 2019 - Proceedings).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Solving fuzzy fractional IVPs of order 2β by residual power series algorithm

AU - Hammad, Ma'Mon Abu

AU - Alaroud, Mohammad

AU - Arqub, Omar Abu

AU - Edwan, Reem

AU - Al-Smadi, Mohammed

AU - Momani, Shaher

PY - 2019/5/16

Y1 - 2019/5/16

N2 - In this paper, an efficient numeric-analytic algorithm has been applied based on the residual power series approach to solve fuzzy fractional initial value problems of order 2\beta, 0\beta\leq 1, under the strongly generalized differentiability. The present method relies basically upon the concept of the residual functions and generalized Taylor formula that constructs analytical and approximate solutions in the form of rapidly convergent series according to their parametric form. To validate the efficiency, reliability, and applicability of the proposed approach, the experimental data has been presented.

AB - In this paper, an efficient numeric-analytic algorithm has been applied based on the residual power series approach to solve fuzzy fractional initial value problems of order 2\beta, 0\beta\leq 1, under the strongly generalized differentiability. The present method relies basically upon the concept of the residual functions and generalized Taylor formula that constructs analytical and approximate solutions in the form of rapidly convergent series according to their parametric form. To validate the efficiency, reliability, and applicability of the proposed approach, the experimental data has been presented.

KW - Caputo fractional derivative

KW - Fuzzy fractional initial value problems

KW - Residual power series algorithm

KW - Strongly generalized differentiability

UR - https://www.scopus.com/pages/publications/85067127901

U2 - 10.1109/JEEIT.2019.8717378

DO - 10.1109/JEEIT.2019.8717378

M3 - Conference contribution

AN - SCOPUS:85067127901

T3 - 2019 IEEE Jordan International Joint Conference on Electrical Engineering and Information Technology, JEEIT 2019 - Proceedings

SP - 52

EP - 57

BT - 2019 IEEE Jordan International Joint Conference on Electrical Engineering and Information Technology, JEEIT 2019 - Proceedings

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2019 IEEE Jordan International Joint Conference on Electrical Engineering and Information Technology, JEEIT 2019

Y2 - 9 April 2019 through 11 April 2019

ER -

Hammad MMA, Alaroud M, Arqub OA, Edwan R, Al-Smadi M, Momani S. Solving fuzzy fractional IVPs of order 2β by residual power series algorithm. In 2019 IEEE Jordan International Joint Conference on Electrical Engineering and Information Technology, JEEIT 2019 - Proceedings. Institute of Electrical and Electronics Engineers Inc. 2019. p. 52-57. 8717378. (2019 IEEE Jordan International Joint Conference on Electrical Engineering and Information Technology, JEEIT 2019 - Proceedings). doi: 10.1109/JEEIT.2019.8717378

Solving fuzzy fractional IVPs of order 2β by residual power series algorithm

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