Results 11 to 20 of about 372,103 (253)

Fractional Calculus in Mexico: The 5th Mexican Workshop on Fractional Calculus (MWFC)

open access: yesComputer Sciences & Mathematics Forum, 2023
The Mexican Workshop on Fractional Calculus (MWFC) is a bi-annual international workshop and the largest Latin American technical event in the field of fractional calculus in Mexico [...]
Jorge M. Cruz-Duarte   +1 more
doaj   +2 more sources

Modified Mittag-Leffler Functions with Applications in Complex Formulae for Fractional Calculus

open access: yesFractal and Fractional, 2020
Mittag-Leffler functions and their variations are a popular topic of study at the present time, mostly due to their applications in fractional calculus and fractional differential equations.
Arran Fernandez, Iftikhar Husain
doaj   +2 more sources

Insight into the Fractional Calculus via a Spreadsheet

open access: yesSpreadsheets in Education, 2009
Many students of calculus are not aware that the calculus they have learned is a special case (integer order) of fractional calculus. Fractional calculus is the study of arbitrary order derivatives and integrals and their applications. The article begins
David A Miller, Stephen J Sugden
doaj   +3 more sources

Numerical Approximations and Fractional Calculus: Extending Boole’s Rule with Riemann–LiouvilleFractional Integral Inequalities [PDF]

open access: yesFractal and Fractional
This 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   +2 more sources

Fractional calculus of periodic distributions [PDF]

open access: yes, 2011
Two approaches for defining fractional derivatives of periodic distributions are presented. The first is a distributional version of the Weyl fractional derivative in which a derivative of arbitrary order of a periodic distribution is defined via Fourier
Lamb, Wilson   +5 more
core   +4 more sources

Evaluating an Improper Fractional Integral Based on Jumarie's Modified Riemann-Liouville Fractional Calculus

open access: yes, 2023
: In this paper, based on Jumarie’s modified Riemann-Liouville (R-L) fractional calculus, we find the solution of some type of improper fractional integral.
Chii-Huei Yu
core   +1 more source

Fractional boundary value problems: Analysis and numerical methods [PDF]

open access: yes, 2011
This is the author's PDF of an article published in Fractional Calculus and Applied Analysis 2011. The original publication is available at www.springerlink.comThis journal article discusses nonlinear boundary value problems.Fundacao para a Ciencia e ...
M. Luísa Morgado   +3 more
core   +1 more source

Fractional Calculus Operators and the Mittag-Leffler Function

open access: yes, 2022
This book focuses on applications of the theory of fractional calculus in numerical analysis and various fields of physics and engineering. Inequalities involving fractional calculus operators containing the Mittag–Leffler function in their kernels are ...

core   +1 more source

Science metrics on fractional calculus development since 1966 [PDF]

open access: yes, 2013
During the last fifty years the area of Fractional Calculus verified a considerable progress.
Galhano, Alexandra   +2 more
core   +1 more source

Foundations of generalized Prabhakar-Hilfer fractional calculus with applications

open access: yesCubo, 2021
Here we introduce the generalized Prabhakar fractional calculus and we also combine it with the generalized Hilfer calculus. We prove that the generalized left and right side Prabhakar fractional integrals preserve continuity and we find tight upper ...
George A. Anastassiou
doaj   +1 more source

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