Analytical Development of Incomplete Riemann-Liouville Fractional Calculus [PDF]
arXiv, 2019 The theory of fractional calculus has developed in a number of directions over the years, including: the formulation of multiple different definitions of fractional differintegration; the extension of various properties of standard calculus into the fractional scenario; the application of fractional differintegrals to assorted special functions ...
arxiv
Calculus of Fractions for Quasicategories
, 2023 77 pages, comments ...
Carranza, Daniel +2 more
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Some useful inequalities for nabla tempered fractional calculus [PDF]
arXiv, 2022 This paper gives particular emphasis to the nabla tempered fractional calculus, which involves the multiplication of the rising function kernel with tempered functions, and provides a more flexible alternative with considerable promise for practical applications. Some remarkable inequalities for such nabla fractional calculus are developed and analyzed,
arxiv
AIMS MathematicsThe aim of this paper was to provide systematic approaches to study the existence of results for the system fractional relaxation integro-differential equations.
Saowaluck Chasreechai +6 more
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Some Gruss type Inequalities using Pompeiu's mean value theorem on Conformable Fractional Calculus [PDF]
arXiv, 2017 The main objective of this paper is to obtain some Gruss Like Inequalities using Pompeiu's mean value theorem on Conformable Fractional Calculus.
arxiv
Geometrical enhancement of the electric field: Application of fractional calculus in nanoplasmonics
, 2011 We developed an analytical approach, for a wave propagation in metal-dielectric nanostructures in the quasi-static limit. This consideration establishes a link between fractional geometry of the nanostructure and fractional integro-differentiation.
Baskin, E., Iomin, A.
core +1 more source
Fractional Trigonometric Functions in Complex-valued Space: Applications of Complex Number to Local Fractional Calculus of Complex Function [PDF]
arXiv, 2011 This paper presents the fractional trigonometric functions in complex-valued space and proposes a short outline of local fractional calculus of complex function in fractal spaces.
arxiv
From Fractional Quantum Mechanics to Quantum Cosmology: An Overture
Mathematics, 2020 Fractional calculus is a couple of centuries old, but its development has been less embraced and it was only within the last century that a program of applications for physics started. Regarding quantum physics, it has been only in the previous decade or
Paulo Vargas Moniz, Shahram Jalalzadeh
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Mathematical Economics: Application of Fractional Calculus
Mathematics, 2020 Mathematical economics is a theoretical and applied science in which economic objects, processes, and phenomena are described by using mathematically formalized language [...]
V. E. Tarasov
semanticscholar +1 more source
An Adaptive Particle Swarm Optimization Algorithm for Unconstrained Optimization
Complexity, 2020 Conventional optimization methods are not efficient enough to solve many of the naturally complicated optimization problems. Thus, inspired by nature, metaheuristic algorithms can be utilized as a new kind of problem solvers in solution to these types of
Feng Qian +4 more
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