Results 1 to 10 of about 85 (49)
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
semanticscholar +4 more sources
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.
doaj +1 more source
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
doaj +1 more source
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
semanticscholar +2 more sources
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
semanticscholar +2 more sources
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.
core +1 more source
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
core +2 more sources
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
semanticscholar +1 more source
The time-dependent von Kármán plate equation as a limit of 3D nonlinear elasticity [PDF]
, 2009 The asymptotic behaviour of the solutions of three-dimensional nonlinear elastodynamics in a thin plate is studied, as the thickness h of the plate tends to zero. Under appropriate scalings of the applied force and of the initial values in terms of h, it
Abels, Helmut +2 more
core +2 more sources
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
core +2 more sources