Results 1 to 10 of about 84 (47)
New applications of the variational iteration method - from differential equations to q-fractional difference equations [PDF]
Advances in Differential Equations, 2013 The non-classical calculi such as q-calculus, fractional calculus and q-fractional calculus have been hot topics in both applied and pure sciences. Then some new linear and nonlinear models have appeared.
Guo-cheng Wu, D. Baleanu
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Nonlinear Engineering, 2023 In this study, the Caputo-type fractional time-derivative is simulated by inserting a proportional time-delay into the field function of the perturbed-KdV equation.
Alquran Marwan +3 more
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Demonstratio Mathematica, 2021 In this work, we study the existence of one and exactly one solution x∈C[0,1]x\in C\left[0,1], for a delay quadratic integral equation of Volterra-Stieltjes type.
El-Sayed Ahmed M. A., Omar Yasmin M. Y.
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Some fixed point theorems concerning F-contraction in complete metric spaces
Fixed Point Theory and Applications, 2014 In this paper, we extend the result of Wardowski (Fixed Point Theory Appl. 2012:94, 2012) by applying some weaker conditions on the self map of a complete metric space and on the mapping F, concerning the contractions defined by Wardowski.
H. Piri, Poom Kumam
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Fixed Point Theory and Applications, 2013 In this paper, the local fractional variational iteration method is given to handle the damped wave equation and dissipative wave equation in fractal strings. The approximation solutions show that the methodology of local fractional variational iteration
Wei Su +3 more
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Journal of Applied Mathematics and Computational Mechanics, 2019 In the present paper, the Generalized Differential Transform Method (GDTM) is used for obtaining the approximate analytic solutions of a free vibration linear differential equation of a single-degree-of-freedom (SDOF) system with fractional derivative ...
D. Das
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Stability and Analytic Solutions of an Optimal Control Problem on the Schrödinger Lie Group
Open Physics, 2016 The nonlinear stability and the existence of the periodic solutions for an optimal control problem on the Schrödinger Lie group are discussed. The analytic solutions via optimal homotopy asymptotic method of the dynamics and numerical simulations are ...
Ene Remus-Daniel +2 more
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Stability Problems and Analytical Integration for the Clebsch’s System
Open Mathematics, 2019 The nonlinear stability and the existence of periodic orbits of the equilibrium states of the Clebsch’s system are discussed.. Numerical integration using the Lie-Trotter integrator and the analytic approximate solutions using Multistage Optimal Homotopy
Pop Camelia, Ene Remus-Daniel
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Stability problems and numerical integration on the Lie group SO(3) × R3 × R3
Open Mathematics, 2018 The paper is dealing with stability problems for a nonlinear system on the Lie group SO(3) × R3 × R3. The approximate analytic solutions of the considered system via Optimal Homotopy Asymptotic Method are presented, too.
Pop Camelia, Ene Remus-Daniel
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Partial Differential Equations in Applied MathematicsThe analytical investigation delves into the intricate interplay between radiation, magnetic fields, and convective nanofluid flow within a rotating system that is subject to a heat source.
Manjunatha N +6 more
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