Zobrazeno 1 - 10
of 18
pro vyhledávání: '"Abedel-Karrem Alomari"'
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 10, Iss , Pp 100680- (2024)
This work investigates the exact and accurate approximate series solutions of the strongly nonlinear wave-like differential equations of fractional order with variable coefficients utilizing the Laplace residual power series technique in the 2D, and
Externí odkaz:
https://doaj.org/article/50f9c6891ab04c1b8bd3513c4bc4b743
Publikováno v:
Fractal and Fractional, Vol 8, Iss 10, p 576 (2024)
This paper is devoted to building a general framework for constructing a solution to fractional Phi-4 differential equations using a Caputo definition with two parameters. We briefly introduce some definitions and properties of fractional calculus in
Externí odkaz:
https://doaj.org/article/6aa9cb8c77834b66b13cbe28f02fc755
Publikováno v:
Symmetry, Vol 16, Iss 9, p 1152 (2024)
This research focuses on finding multiple solutions (MSs) to nonlinear fractional boundary value problems (BVPs) through a new development, namely the predictor Laplace fractional power series method. This method predicts the missing initial values b
Externí odkaz:
https://doaj.org/article/2e416122236540888665e522b672a4a7
Publikováno v:
Symmetry, Vol 15, Iss 7, p 1296 (2023)
In this paper, we compile the fractional power series method and the Laplace transform to design a new algorithm for solving the fractional Volterra integro-differential equation. For that, we assume the Laplace power series (LPS) solution in terms o
Externí odkaz:
https://doaj.org/article/24272eb3848b4f158a39c21173e362fd
Publikováno v:
Mathematics, Vol 11, Iss 9, p 2181 (2023)
In the current analysis, a specific efficient and applicable novel solution approach, based on a fractional power series technique and Laplace transform operator, is considered to predict certain accurate approximate solutions (ASs) for a time-fracti
Externí odkaz:
https://doaj.org/article/72f85df2afa6443497bef72523b7de74
Autor:
Ali Fareed Jameel, Dulfikar Jawad Hashim, Nidal Anakira, Osama Ababneh, Ahmad Qazza, Abedel-Karrem Alomari, Khamis S. Al Kalbani
Publikováno v:
Axioms, Vol 12, Iss 4, p 387 (2023)
This work focuses on solving and analyzing two-point fuzzy boundary value problems in the form of fractional ordinary differential equations (FFOBVPs) using a new version of the approximation analytical approach. FFOBVPs are useful in describing comp
Externí odkaz:
https://doaj.org/article/8448a39b37654a059fdef520bfe0ce9c
Publikováno v:
Fractal and Fractional, Vol 7, Iss 2, p 176 (2023)
This work provides exact and analytical approximate solutions for a non-linear time-fractional generalized biology population model (FGBPM) with suitable initial data under the time-Caputo fractional derivative, in view of a novel effective and appli
Externí odkaz:
https://doaj.org/article/5b8c3cb81fae4245baabde352ae72761
Autor:
Nidal Ratib Anakira, Ali Jameel, Abedel-Karrem Alomari, Azizan Saaban, Mohammad Almahameed, Ishak Hashim
Publikováno v:
Journal of Mathematical and Fundamental Sciences, Vol 50, Iss 3, Pp 221-232 (2018)
In this paper, a numerical procedure called multistage optimal homotopy asymptotic method (MOHAM) is introduced to solve multi-pantograph equations with time delay. It was shown that the MOHAM algorithm rapidly provides accurate convergent approximat
Externí odkaz:
https://doaj.org/article/d0b2cee166d642a5956f7f3a4bb9c705
Autor:
Ahmad Sami Bataineh, Osman Rasit Isik, Abedel-Karrem Alomari, Mohammad Shatnawi, Ishak Hashim
Publikováno v:
Mathematics, Vol 8, Iss 9, p 1473 (2020)
In this study, we introduce an efficient computational method to obtain an approximate solution of the time-dependent Emden-Fowler type equations. The method is based on the 2D-Bernstein polynomials (2D-BPs) and their operational matrices. In the cas
Externí odkaz:
https://doaj.org/article/849d901480184324852614c55d2ef2ab
Publikováno v:
Symmetry; Volume 15; Issue 7; Pages: 1296
In this paper, we compile the fractional power series method and the Laplace transform to design a new algorithm for solving the fractional Volterra integro-differential equation. For that, we assume the Laplace power series (LPS) solution in terms o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=multidiscipl::a481b6a1bf0e829f30a5eab08138f176