On Multiplicative Fractional Calculus [PDF]
J. Semigroup Theory Appl. 2016, 2016:2, Available online at
http://scik.org, 2015 We set the main concepts for multiplicative fractional calculus. We define Caputo, Riemann and Letnikov multiplicative fractional derivatives and multiplicative fractional integrals and study some of their properties. Finally, the multiplicative analogue of the local conformable fractional derivative and integral is studied.
arxiv
Applications of local fractional calculus to engineering in fractal time-space: Local fractional differential equations with local fractional derivative [PDF]
arXiv, 2011 This paper presents a better approach to model an engineering problem in fractal-time space based on local fractional calculus. Some examples are given to elucidate to establish governing equations with local fractional derivative.
arxiv
Numerical Approximations to Fractional Problems of the Calculus of Variations and Optimal Control
, 2013 This chapter presents some numerical methods to solve problems in the fractional calculus of variations and fractional optimal control. Although there are plenty of methods available in the literature, we concentrate mainly on approximating the ...
Almeida, Ricardo +2 more
core
Tempered and Hadamard-type fractional calculus with respect to functions [PDF]
arXiv, 2019 Many different types of fractional calculus have been defined, which may be categorised into broad classes according to their properties and behaviours. Two types that have been much studied in the literature are the Hadamard-type fractional calculus and tempered fractional calculus.
arxiv
Variable-order fractional calculus: A change of perspective [PDF]
Communications in nonlinear science & numerical simulation, 2021 R. Garrappa, A. Giusti, F. Mainardi
semanticscholar +1 more source
Fractal and FractionalThis paper develops integral inequalities for first-order differentiable convex functions within the framework of fractional calculus, extending Boole-type inequalities to this domain. An integral equality involving Riemann–Liouville fractional integrals
Abdul Mateen +4 more
doaj +1 more source
STOCHASTIC STRATONOVICH CALCULUS fBm FOR FRACTIONAL BROWNIAN MOTION WITH HURST PARAMETER LESS THAN 1/2 [PDF]
, 2001 Elisa Alòs +2 more
openalex +1 more source
ON GENERALIZED THE CONFORMABLE FRACTIONAL CALCULUS
, 2019 In this paper, we generalize the conformable fractional derivative and integral and obtain several results such as the product rule, quotient rule, chain rule.
Sarıkaya, Mehmet Zeki +2 more
openaire +5 more sources
Recent applications of fractional calculus to science and engineering [PDF]
, 2003 Lokenath Debnath
openalex +1 more source
Certain Integral Means Inequalities Involving Fractional Calculus Operators of Analytic Functions [PDF]
, 2003 Ravinder Krishna Raina, Indu Bala Bapna
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