14th Conference on Dynamical Systems Theory and Applications DSTA 2017 ABSTRACTS [PDF]
, 2017 From Preface: This is the fourteen time when the conference “Dynamical Systems – Theory and Applications” gathers a numerous group of outstanding scientists and engineers, who deal with widely understood problems of theoretical and applied dynamics ...
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Mathematical and Numerical Aspects of Dynamical System Analysis [PDF]
, 2017 From Preface: This is the fourteenth time when the conference “Dynamical Systems: Theory and Applications” gathers a numerous group of outstanding scientists and engineers, who deal with widely understood problems of theoretical and applied dynamics ...
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Applicable Solutions in Non-Linear Dynamical Systems [PDF]
, 2019 From Preface: The 15th International Conference „Dynamical Systems - Theory and Applications” (DSTA 2019, 2-5 December, 2019, Lodz, Poland) gathered a numerous group of outstanding scientists and engineers who deal with widely understood problems of ...
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Optimum Solutions of Fractional Order Zakharov–Kuznetsov Equations
Complexity, Volume 2019, Issue 1, 2019., 2019 In this paper, the Optimal Homotopy Asymptotic Method is extended to derive the approximate solutions of fractional order two‐dimensional partial differential equations. The fractional order Zakharov–Kuznetsov equation is solved as a test example, while the time fractional derivatives are described in the Caputo sense.
Rashid Nawaz +5 more
wiley +1 more source
Numerical Analysis of Nonlinear Fractional System of Jaulent–Miodek Equation
, 2023 This paper presents the optimal auxiliary function method (OAFM) implementation to solve a nonlinear fractional system of the Jaulent–Miodek Equation with the Caputo operator.
Abdulrahman A. B. M. Alzahrani
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A New Approach for Solving Fredholm Integro-Differential Equations [PDF]
, 2021 In the present article, we extend the optimal auxiliary function method (OAFM) to integro-differential equations. The method has especially contained the auxiliary function and convergence control parameters that accelerate the methods convergence.
Abdel-Aty, A. +6 more
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A NEW TECHNIQUE FOR APPROXIMATE SOLUTION OF FRACTIONAL-ORDER PARTIAL DIFFERENTIAL EQUATIONS
, 2021 In the present paper, the optimal auxiliary function method (OAFM) has been extended for the first time to fractional-order partial differential equations (FPDEs) with convergence analysis.
KOTTAKKARAN SOOPPY NISAR +3 more
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Extension of optimal auxiliary function method to nonlinear Sine Gordon differential equations
Partial Differential Equations in Applied MathematicsIn this paper, the new semi-analytical method called optimal auxiliary function method has been extended for finding the approximate solution of the non-linear Sine Gordon and Burger equations.
Aaqib Iqbal +5 more
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DYNAMIC ANALYSIS OF A NANOBEAM UNDER THE INFLUENCE OF AN ELECTROMAGNETIC ACTUATOR AND A MECHANICAL IMPACT [PDF]
The Optimal Auxiliary Functions Method (OAFM) is applied in the study of nonlinear vibration of a nanobeam, considering the curvature of the beam, the presence of an electromagnetic actuator and a mechanical impact.
Herisanu, Nicolae +2 more
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Efficient approximate analytical technique to solve nonlinear coupled Jaulent–Miodek system within a time-fractional order [PDF]
In this article, we considered the nonlinear time-fractional Jaulent–Miodek model (FJMM), which is applied to modeling many applications in basic sciences and engineering, especially physical phenomena such as plasma physics, fluid dynamics ...
Hegagi Mohamed Ali +3 more
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