Browsing by Author "Chu, Yu-ming"

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Citation - WoS: 18
Citation - Scopus: 20
NEW NEWTON'S TYPE ESTIMATES PERTAINING to LOCAL FRACTIONAL INTEGRAL VIA GENERALIZED p -CONVEXITY with APPLICATIONS
(World Scientific Publ Co Pte Ltd, 2021) LI, Yong-min; Baleanu, Dumitru; Rashid, Saima; Hammouch, Zakia; Baleanu, Dumitru; Chu, Yu-ming; 56389; Matematik
This paper aims to investigate the notion of p-convex functions on fractal sets Double-struck capital R-alpha(0 < alpha <= 1). Based on these novel ideas, we derived an auxiliary result depend on a three-step quadratic kernel by employing generalized p-convexity. Take into account the local fractal identity, we established novel Newton's type variants for the local differentiable functions. Several special cases are apprehended in the light of generalized convex functions and generalized harmonically convex functions. This novel strategy captures several existing results in the relative literature. Application is obtained in cumulative distribution function and generalized special weighted means to confirm the relevance and computational effectiveness of the considered method. Finally, we supposed that the consequences of this paper can stimulate those who are interested in fractal analysis.
Citation - WoS: 31
Citation - Scopus: 47
ON the APPROXIMATE SOLUTIONS for A SYSTEM of COUPLED KORTEWEG-DE VRIES EQUATIONS with LOCAL FRACTIONAL DERIVATIVE
(World Scientific Publ Co Pte Ltd, 2021) Jafari, Hossein; Baleanu, Dumitru; Jassim, Hassan Kamil; Baleanu, Dumitru; Chu, Yu-ming; 56389; Matematik
In this paper, we utilize local fractional reduced differential transform (LFRDTM) and local fractional Laplace variational iteration methods (LFLVIM) to obtain approximate solutions for coupled KdV equations. The obtained results by both presented methods (the LFRDTM and the LFLVIM) are compared together. The results clearly show that those suggested algorithms are suitable and effective to handle linear and as well as nonlinear problems in engineering and sciences.