Results 1 to 10 of about 83 (46)
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.
AA Kilbas +51 more
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An asymptotic approach to inverse scattering problems on weakly nonlinear elastic rods [PDF]
Journal of Applied Mathematics, Volume 2, Issue 8, Page 407-435, 2002., 2002 Elastic wave propagation in weakly nonlinear elastic rods is considered in the time domain. The method of wave splitting is employed to formulate a standard scattering problem, forming the mathematical basis for both direct and inverse problems.
Kevin L. Kreider, Shinuk Kim
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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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ON APPROXIMATE AND CLOSED-FORM SOLUTION METHOD FOR INITIAL-VALUE WAVE-LIKE MODELS [PDF]
, 2016 This work presents a proposed Modified Differential Transform Method (MDTM) for obtaining both closed-form and approximate solutions of initial-value wave-like models with variable, and constant coefficients.
Akinlabi, G. O., Edeki, S.O.
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Energy decay in thermoelastic bodies with radial symmetry [PDF]
, 2022 In this paper, we consider the energy decay of some problems involving domains with radial symmetry. Three different settings are studied: a strong porous dissipation and heat conduction, a weak porous dissipation and heat conduction and poro ...
Bazarra, Noelia +2 more
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Asymptotic formulas for solitary waves in the high-energy limit of FPU-type chains [PDF]
, 2015 It is well established that the solitary waves of FPU-type chains converge in the high-energy limit to traveling waves of the hard-sphere model. In this paper we establish improved asymptotic expressions for the wave profiles as well as an explicit ...
Herrmann, Michael, Matthies, Karsten
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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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