Results 121 to 130 of about 611,053 (243)

Matrix-Variate Statistical Distributions and Fractional Calculus [PDF]

Fractional Calculus and Applied Analysis 14(2011)138-155, 2010
A connection between fractional calculus and statistical distribution theory has been established by the authors recently. Some extensions of the results to matrix-variate functions were also considered. In the present article, more results on matrix-variate statistical densities and their connections to fractional calculus will be established.
arxiv  

On History of Mathematical Economics: Application of Fractional Calculus

Mathematics, 2019
Modern economics was born in the Marginal revolution and the Keynesian revolution. These revolutions led to the emergence of fundamental concepts and methods in economic theory, which allow the use of differential and integral calculus to describe ...
V. E. Tarasov
semanticscholar   +1 more source

Fractional calculus and the evolution of fractal phenomena [PDF]

, 1999
Andrea Rocco, Bruce J. West
openalex   +1 more source

Analysis on nonlinear differential equation with a deviating argument via Faedo–Galerkin method

Results in Applied Mathematics
This article focuses on the impulsive fractional differential equation (FDE) of Sobolev type with a nonlocal condition. Existence and uniqueness of the approximations are determined via analytic semigroup and fixed point method.
M. Manjula, E. Thilakraj, P. Sawangtong, K. Kaliraj   +3 more
doaj  

Analytical solution of local fractional Klein-Gordon equation for the generalized Hulthen potential [PDF]

arXiv, 2017
One dimensional Klein-Gordon (KG) equation is investigated in the domain of conformable fractional calculus for one dimensional scalar potential namely generalized Hulthen potential. The conformable fractional calculus is based on conformable fractional derivative which is the most natural definition in non integer order calculus.
arxiv  

Generalized fractional calculus to a subclass of analytic functions for operators on Hilbert space [PDF]

, 1996
Yong Chan Kim, Jae Ho Choi, Jin Seop Lee
openalex   +1 more source

Ćirić-type generalized F-contractions with integral inclusion in super metric spaces

Results in Control and Optimization
This study aims to explore Ćirić-type generalized F-contractions, almost F-contractions, and the combination of these contractions in the framework of super metric spaces.
Kamaleldin Abodayeh, Syed Khayyam Shah, Muhammad Sarwar, Chanon Promsakon, Thanin Sitthiwirattham   +4 more
doaj  

ON SOME THEOREMS IN FRACTIONAL CALCULUS FOR SINGULAR FUNCTIONS [PDF]

, 1996
 Fu
openalex   +1 more source

Fractional Partial Differential Equation: Fractional Total Variation and Fractional Steepest Descent Approach-Based Multiscale Denoising Model for Texture Image

Abstract and Applied Analysis, 2013
The traditional integer-order partial differential equation-based image denoising approaches often blur the edge and complex texture detail; thus, their denoising effects for texture image are not very good.
Yi-Fei Pu, Ji-Liu Zhou, Patrick Siarry, Ni Zhang, Yi-Guang Liu   +4 more
doaj   +1 more source

Fractional Calculus of Extended Mittag-Leffler Function and Its Applications to Statistical Distribution

Mathematics, 2019
Several fractional calculus operators have been introduced and investigated. In this sequence, we aim to establish the Marichev-Saigo-Maeda (MSM) fractional calculus operators and Caputo-type MSM fractional differential operators of extended Mittag ...
Serkan Araci, Gauhar Rahman, Abdul Ghaffar, Azeema, Kottakkaran Sooppy Nisar   +4 more
doaj   +1 more source