Results 31 to 40 of about 10,416 (247)
Damped wave equation and dissipative wave equation in fractal strings within the local fractional variational iteration method [PDF]
Fixed Point Theory and Applications, 2013 Abstract 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 method is an efficient and simple tool for solving mathematical problems arising
Weihua Su +3 more
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Local fractional variational iteration method for Fokker-Planck equation on a Cantor set
Acta Universitaria, 2013 Recently the local fractional operators have started to be considered a useful tool to deal with fractal functions defined on Cantor sets. In this paper, we consider the Fokker-Planck equation on a Cantor set derived from the fractional complex transform method. Additionally, the solution obtained is considered by using the local fractional variational
Dumitru Baleanu, Xiao Jun Yang
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Journal of Kufa for Mathematics and Computer, 2017 The one-dimensional Volterra Integro-Differential Equations of the second kind associated with local fractional derivative operators are investigated. Analytical solutions are obtained by using the local fractional variational Iteration method (LFVIM).
Hassan Kamil Jassim, Ammar Ali Neamah
doaj +1 more source
Advances in Mathematical Physics, 2014 We investigate the local fractional linear transport equations arising in fractal porous media by using the local fractional variational iteration method.
Meng Li +4 more
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Approximate Solutions of the Damped Wave Equation and Dissipative Wave Equation in Fractal Strings
Fractal and Fractional, 2019 In this paper, we apply the local fractional Laplace variational iteration method (LFLVIM) and the local fractional Laplace decomposition method (LFLDM) to obtain approximate solutions for solving the damped wave equation and dissipative wave equation ...
Dumitru Baleanu, Hassan Kamil Jassim
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Fractal heat conduction problem solved by local fractional variation iteration method
Thermal Science, 2013 This paper points out a novel local fractional variational iteration method for processing the local fractional heat conduction equation arising in fractal heat transfer.
Xiao-Jun Yang, Dumitru Baleanu
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pH‐mediated activation of the lysosomal arginine sensor SLC38A9
FEBS Letters, EarlyView.Cells monitor nutrient levels via the lysosomal transporter SLC38A9 to activate the mechanistic target of rapamycin complex 1 (mTORC1). This study reveals that SLC38A9 function is regulated by pH. We identified histidine 544 as a critical pH sensor that undergoes conformational changes to control amino acid efflux from lysosomes; therefore, it ...
Xuelang Mu, Ampon Sae Her, Tamir Gonen
wiley +1 more source
An improved homotopy perturbation method for solving local fractional nonlinear oscillators
Journal of Low Frequency Noise, Vibration and Active Control, 2019 Local fractional nonlinear oscillators are studied by a modification of the homotopy perturbation method coupled with the variational iteration method.
Yong-Ju Yang, Shun-Qin Wang
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Journal of Mathematical and Fundamental Sciences, 2018 In this study, approximate solutions of a system of time-fractional coupled Burger equations were obtained by means of a local fractional operator (LFO) in the sense of the Caputo derivative.
Sunday O. Edeki, Grace O. Akinlabi
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Local Fractional Variational Iteration Method for Solving Nonlinear Partial Differential Equations within Local Fractional Operators [PDF]
, 2015 In this article, the local fractional variational iteration method is proposed to solve nonlinear partial differential equations within local fractional derivative operators.
Jafari, Hossein, Jassim, Hassan K.
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