نتایج جستجو برای: modified atangana baleanu fractional derivative

تعداد نتایج: 367263  

M. alipour, P. allahgholi

In this paper, we apply spectral method based on the Bernstein polynomials for solving a class of optimal control problems with Jumarie’s modified Riemann-Liouville fractional derivative. In the first step, we introduce the dual basis and operational matrix of product based on the Bernstein basis. Then, we get the Bernstein operational matrix for the Jumarie’s modified Riemann-Liouville fractio...

Journal: :Journal of function spaces 2021

The goal of this paper is to present a new space, complex valued controlled rectangular b -metric space (for short, id="M2"> υ ℂ space). Some examples and topological properties id="M3"> spaces are given. Also, some related common fixed point results discussed. Our generali...

Journal: :Symmetry 2022

In this article, we investigate the nonlinear model describing various physical and chemical phenomena named Kuramoto–Sivashinsky equation. We implemented natural decomposition method, a novel technique, mixed with Caputo–Fabrizio (CF) Atangana–Baleanu deriavatives in Caputo manner (ABC) fractional derivatives for obtaining approximate analytical solution of equation (FKS). The proposed method ...

Journal: :Entropy 2017
José António Tenreiro Machado António Mendes Lopes

Complex systems (CS) are pervasive in many areas, namely financial markets; highway transportation; telecommunication networks; world and country economies; social networks; immunological systems; living organisms; computational systems; and electrical and mechanical structures. CS are often composed of a large number of interconnected and interacting entities exhibiting much richer global scal...

Journal: :Fractal and fractional 2021

The present research correlates with a fuzzy hybrid approach merged homotopy perturbation transform method known as the Shehu (SHPTM). With aid of Caputo and Atangana–Baleanu under generalized Hukuhara differentiability, we illustrate reliability this scheme by obtaining fractional Cauchy reaction–diffusion equations (CRDEs) initial conditions (ICs). Fractional CRDEs play vital role in diffusio...

Journal: :IEEE Access 2021

The core purpose of this study is the formulation a fractional model to anticipate improvement in heat transfer potential particular diathermal oil i.e. engine under thermal radiative flux. magnetohydrodynamic (MHD) freely convectional transport two different types based nanofluids comprised Titanium (Ti <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xli...

Journal: :Journal of Mathematics 2023

Research focus on optimal control problems brought by fractional differential equations has been extensively applied in practice. However, because they are still open-ended and challenging, a number of with mathematical modeling require additional study. Using fractional-order derivatives defined the Atangana Baleanu Caputo sense, we alter integer-order model that proposed literature. We prove ...

Journal: :international journal of nonlinear analysis and applications 0
javad damirchi department of mathematics, faculty of mathematics, statistics and computer science, semnan university,semnan, iran

in this paper, we prove the existence and uniqueness results to the random fractional functional differential equations under assumptions more general than the lipschitz type condition. moreover, the distance between exact solution and appropriate solution, and the existence extremal solution of the problem is also considered.

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