Results 261 to 270 of about 857,826 (292)
Fractional Calculus Operators and Their Image Formulas
Journal of the Korean Mathematical Society, 2016 Praveen Agarwal, Junesang Choi
exaly +3 more sources
Some of the next articles are maybe not open access.
Related searches:
Related searches:
Multidimensional Modified Fractional Calculus Operators
Mathematische Nachrichten, 1993AbstractThis paper deals with the study of some new multidimensional operators of fractional calculus. These operators are considered in certain spaces of test and generalized functions. Some mapping properties and product rules are obtained.
Vu Kim Tuan, Saigo, Megumi
openaire +2 more sources
An operational calculus approach to Hilfer–Prabhakar fractional derivatives
Banach Journal of Mathematical Analysis, 2023The authors employ Mikusiński's operational calculus to study the Hilfer-Prabhakar fractional derivative operator. By using an algebraic interpretation of the latter derivative, a number of fractional differential equations are solved.
Arran Fernandez +2 more
openaire +3 more sources
Communications in Nonlinear Science and Numerical Simulation
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Arran Fernandez
exaly +4 more sources
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Arran Fernandez
exaly +4 more sources
Mikusiński’s Operational Calculus Applied in General Classes of Fractional Calculus
2022Mikusi?ski’s operational calculus is an algebraic formalism for integral and derivative operators, constructed in the mid 20th century, which can be used for solving differential equations. It is formally similar to the method of Laplace transforms, but applicable to a bigger set of problems due to its setting in a larger function space.
openaire +2 more sources
The effect of fractional calculus on the formation of quantum‐mechanical operators
Mathematical Methods in the Applied Sciences, 2020In this paper, the deformation of the ordinary quantum mechanics is formulated based on the idea of conformable fractional calculus. Some properties of fractional calculus and fractional elementary functions are investigated. The fractional wave equation in 1 + 1 dimension and fractional version of the Lorentz transformation are discussed. Finally, the
Won Sang Chung +3 more
openaire +1 more source
Fractional calculus and fractional order operators
2015Fractional order differential equations are an efficient tool to model various processes arising in science and engineering. Fractional models adequately reflect subtle internal properties, such as memory or hereditary properties, of complex processes that the classical integer order models neglect.
openaire +1 more source
Fractional Fourier transform in the framework of fractional calculus operators
Integral Transforms and Special Functions, 2010The paper is devoted to the study of a fractional Fourier transform in a special space of functions by Lizorkin. Connections of such a transform with differentiation operators are established and an inverse operator for such a transform if constructed.
A. A. Kilbas +3 more
openaire +1 more source
On the Generalization of Block Pulse Operational Matrices for Fractional and Operational Calculus
Journal of the Franklin Institute, 1983A more rigorous derivation for the generalized block pulse operational matrices was proposed in this paper. The Riemann-Liouville fractional integral in the fractional calculus was utilized to derive the generalized block pulse operational matrices. The fundamental philosophy behind this paper is the elegant relationship between Laplace transform and ...
openaire +2 more sources
A review of operational matrices and spectral techniques for fractional calculus
Nonlinear Dynamics, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bhrawy, A. H. +2 more
openaire +2 more sources