Zobrazeno 1 - 10
of 99
pro vyhledávání: '"Mohammed Al-Refai"'
Publikováno v:
Applied Sciences, Vol 14, Iss 12, p 5008 (2024)
Driving style and road traffic play pivotal roles in the development of smart cities, influencing traffic flow, safety, and environmental sustainability. This study presents an innovative approach for detecting road traffic conditions and driving sty
Externí odkaz:
https://doaj.org/article/6aa7aa95737140baa9f10753c5cbcd08
Autor:
Mohammed Al-Refai, Yuri Luchko
Publikováno v:
Axioms, Vol 12, Iss 12, p 1075 (2023)
In this paper, two types of general fractional derivatives of distributed order and a corresponding fractional integral of distributed type are defined, and their basic properties are investigated. The general fractional derivatives of distributed or
Externí odkaz:
https://doaj.org/article/77dfa424ea9f4cc585574cce05125d70
Autor:
Mohammed Al-Refai, Dumitru Baleanu
Publikováno v:
AIMS Mathematics, Vol 6, Iss 2, Pp 1443-1451 (2021)
In this paper, we derive and prove a maximum principle for a linear fractional differential equation with non-local fractional derivative. The proof is based on an estimate of the non-local derivative of a function at its extreme points. A priori nor
Externí odkaz:
https://doaj.org/article/a206673ca5ae4020922aa3da180ba164
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-10 (2021)
Abstract In this paper, we study classes of linear and nonlinear multi-term fractional differential equations involving a fractional derivative with generalized Mittag-Leffler kernel. Estimates of fractional derivatives at extreme points are first ob
Externí odkaz:
https://doaj.org/article/11bcd728587949e6bf731054dd8fecb9
Autor:
Arran Fernandez, Mohammed Al-Refai
Publikováno v:
Fractal and Fractional, Vol 7, Iss 3, p 213 (2023)
Integro-differential operators with non-singular kernels have been much discussed among fractional calculus researchers. We present a mathematical study to clearly establish the rigorous foundations of this topic. By considering function spaces and m
Externí odkaz:
https://doaj.org/article/3a44aad6529c4b22882d070e9823d3e6
Autor:
Mohammed Al-Refai, Yuri Luchko
Publikováno v:
Mathematics, Vol 11, Iss 4, p 1031 (2023)
The general fractional integrals and derivatives considered so far in the Fractional Calculus literature have been defined for the functions on the real positive semi-axis. The main contribution of this paper is in introducing the general fractional
Externí odkaz:
https://doaj.org/article/f2a96eeb2dbb4cccb0425fb75ca1542a
Autor:
Muhammed I. Syam, Mohammed Al-Refai
Publikováno v:
Alexandria Engineering Journal, Vol 59, Iss 4, Pp 2677-2681 (2020)
In this paper, a reliable approach based on the implicit hybrid method is presented to solve first order delay problems. The main difficulty in this approach is that, some points are not grid points. We use interpolation to overcome this difficulty.
Externí odkaz:
https://doaj.org/article/12e1a974f05745c38c9574c8b0492f0a
Autor:
Mohammed Al-Refai
Publikováno v:
Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-11 (2020)
Abstract In this paper, we define the weighted Atangana–Baleanu fractional operators of Caputo sense. We obtain the solution of a related linear fractional differential equation in a closed form, and use the result to define the weighted Atangana
Externí odkaz:
https://doaj.org/article/c52c663694854179b7bcbf3406912f9d
Publikováno v:
Fractal and Fractional, Vol 6, Iss 10, p 612 (2022)
This paper is devoted to studying a class of fractional differential equations (FDEs) with the Prabhakar fractional derivative of Caputo type in an analytical manner. At first, an estimate of the Prabhakar fractional derivative of a function at its e
Externí odkaz:
https://doaj.org/article/8051ee31640943e988a49bfbd675510d
Publikováno v:
Complexity, Vol 2021 (2021)
In this article, we present a one-step hybrid block method for approximating the solutions of second-order fuzzy initial value problems. We prove the stability and convergence results of the method and present several examples to illustrate the effic
Externí odkaz:
https://doaj.org/article/06b878f20c7649ae9e9bb7c2911700f8