Search Results - "Ali Akgül"

A novel method for a fractional derivative with non-local and non-singular kernel by Akgül, Ali

“…•We investigate Atanagana-Baleanu Derivatives.•We apply reproducing kernel Hilbert space method to fractional differential initial value problems containing…”
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Abundant new analytical and approximate solutions to the generalized Schamel equation by Ghanbari, Behzad, Akgül, Ali

“…An exact solution of partial differential equations provides a lot of information for a model. Since obtaining such answers is generally very difficult or in…”
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Can transfer function and Bode diagram be obtained from Sumudu transform by Atangana, Abdon, Akgül, Ali

“…In the last past year researchers have relied on the ability of Laplace transform to solve partial, ordinary linear equations with great success. Important…”
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A novel approach for solving linear and nonlinear time-fractional Schrödinger equations by Liaqat, Muhammad Imran, Akgül, Ali

“…There is significant literature on Schrödinger differential equation (SDE) solutions, where the fractional derivatives are stated in terms of Caputo derivative…”
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Crank–Nicholson difference method and reproducing kernel function for third order fractional differential equations in the sense of Atangana–Baleanu Caputo derivative by Akgül, Ali, Modanli, Mahmut

“…In this paper, the third order partial differential equation defined by Caputo fractional derivative with Atangana–Baleanu derivative has been investigated…”
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Analysis of fractal fractional differential equations by Atangana, Abdon, Akgül, Ali, Owolabi, Kolade M.

“…Nonlocal differential and integral operators with fractional order and fractal dimension have been recently introduced and appear to be powerful mathematical…”
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On a Fractional Operator Combining Proportional and Classical Differintegrals by Baleanu, Dumitru, Fernandez, Arran, Akgül, Ali

“…The Caputo fractional derivative has been one of the most useful operators for modelling non-local behaviours by fractional differential equations. It is…”
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Modelling and simulations of the SEIR and Blood Coagulation systems using Atangana-Baleanu-Caputo derivative by Partohaghighi, Mohammad, Akgül, Ali

“…In this work, we investigate the SEIR and Blood Coagulation systems using a specific type of fractional derivative. SEIR epidemic model which outlines the…”
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Reproducing kernel Hilbert space method based on reproducing kernel functions for investigating boundary layer flow of a Powell-Eyring non-Newtonian fluid by Akgül, Ali

“…In this work, the boundary layer flow of a Powell-Eyring non-Newtonian fluid over a stretching sheet has been investigated by a reproducing kernel method…”
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New fractional modelling and control analysis of the circumscribed self-excited spherical strange attractor by Akgül, Ali, Partohaghighi, Mohammad

“…•We investigate a novel non-integer model of the circumscribed self-excited spherical strange attractor.•We consider the Caputo-Fabrizio derivative.•We provide…”
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Reproducing kernel method for Fangzhu's oscillator for water collection from air by Akgül, Ali, Ahmad, Hijaz

“…In this article, reproducing kernel method is used to approximate nonlinear oscillator in order to reveal main factors affecting the usefulness of an ancient…”
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Investigating the complex behaviour of multi-scroll chaotic system with Caputo fractal-fractional operator by Ahmad, Shabir, Ullah, Aman, Akgül, Ali

“…•We investigate the multi-scroll hidden attractors of a chaotic dynamical system under a novel operator.•We derived existence and uniqueness results through…”
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Improved numerical solution of multi-asset option pricing problem: A localized RBF-FD approach by Soleymani, Fazlollah, Akgül, Ali

“…•The weights of the Gaussian RBF-FD for a non-equidistant grid with a concentration on the hot zone are brought forward.•To reduce the burdensome, a Krylov…”
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Analysis of MHD Couette flow by fractal-fractional differential operators by Akgül, Ali, Siddique, Imran

“…•In this paper, we investigate the MHD Couette flow in details.•We use three different kernels in the proposed model.•We present the stability analysis.•We…”
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New Illustrative Applications of Integral Transforms to Financial Models with Different Fractional Derivatives by Akgül, Esra Karatas, Akgül, Ali, Yavuz, Mehmet

“…•The analytical and approximate solutions of the financial/economic models based on market equilibrium and option pricing have been provided.•Behaviors of…”
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Numerical simulations of nonlinear stochastic Newell-Whitehead-Segel equation and its measurable properties by Iqbal, Muhammad Sajid, Yasin, Muhammad Waqas, Ahmed, Nauman, Akgül, Ali, Rafiq, Muhammad, Raza, Ali

“…In this article, the stochastic form of the Newell-Whitehead-Segel equation has been investigated. This is a fully nonlinear partial differential equation and…”
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A reproducing kernel Hilbert space method for nonlinear partial differential equations: applications to physical equations by Attia, Nourhane, Akgül, Ali

“…Abstract The partial differential equations (PDEs) describe several phenomena in wide fields of engineering and physics. The purpose of this paper is to employ…”
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Dynamics exploration for a fractional-order delayed zooplankton–phytoplankton system by Li, Peiluan, Gao, Rong, Xu, Changjin, Li, Ying, Akgül, Ali, Baleanu, Dumitru

“…In this study, we are concerned with the dynamics of a new established fractional-order delayed zooplankton–phytoplankton system. The existence and uniqueness…”
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Analysis of MHD generalized first problem of Stokes’ in view of local and non-local fractal fractional differential operators by Siddique, Imran, Akgül, Ali

“…•Unsteady MHD generalized first problem of Stokes’ for an incompressible viscous fluid under isothermal conditions have been investigated.•The fractal…”
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Analysis and applications of the proportional Caputo derivative by Akgül, Ali, Baleanu, Dumitru

“…In this paper, we investigate the analysis of the proportional Caputo derivative that recently has been constructed. We create some useful relations between…”
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