Results 21 to 30 of about 1,550,178 (378)
Mathematical Biosciences and Engineering, 2021 In this paper, we study the initial boundary value problem for a class of fractional p-Laplacian Kirchhoff type diffusion equations with logarithmic nonlinearity.
Peng Shi +3 more
doaj +1 more source
An Extension Problem Related to the Fractional Laplacian [PDF]
, 2006 The operator square root of the Laplacian (− ▵)1/2 can be obtained from the harmonic extension problem to the upper half space as the operator that maps the Dirichlet boundary condition to the Neumann condition.
L. Caffarelli, L. Silvestre
semanticscholar +1 more source
New Fractional Derivatives with Nonlocal and Non-Singular Kernel: Theory and Application to Heat Transfer Model [PDF]
, 2016 In this manuscript we proposed a new fractional derivative with non-local and no-singular kernel. We presented some useful properties of the new derivative and applied it to solve the fractional heat transfer model.
A. Atangana, D. Baleanu
semanticscholar +1 more source
A fractional spline collocation method for the fractional order logistic equation [PDF]
, 2017 We construct a collocation method based on the fractional B-splines to solve a nonlinear differential problem that involves fractional derivative, i.e. the fractional order logistic equation.
Pezza, L., Pitolli, F.
core +1 more source
Mathematics, 2023 In this paper, a new approach for numerically solving the system of fractional integrodifferential equations is devised. To approximate the issue, we employ Vieta–Fibonacci polynomials as basis functions and derive the projection method for Caputo ...
Abdelkader Moumen +2 more
doaj +1 more source
Fractional Derivative as Fractional Power of Derivative [PDF]
, 2007 Definitions of fractional derivatives as fractional powers of derivative operators are suggested. The Taylor series and Fourier series are used to define fractional power of self-adjoint derivative operator.
Berezin F. A. +25 more
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FRACTIONAL SUPERSYMMETRY [PDF]
Modern Physics Letters A, 1995 A symmetry between bosonic coordinates and some Grassmannian-type coordinates is presented. Commuting two of these Grassmannian-type variables results in an arbitrary phase factor (not just a minus sign). This symmetry is also realized at the level of the field theory.
openaire +2 more sources
On delta and nabla Caputo fractional differences and dual identities [PDF]
, 2013 We Investigate two types of dual identities for Caputo fractional differences. The first type relates nabla and delta type fractional sums and differences.
Abdeljawad, Thabet
core +3 more sources
Experimental realization of the analogy of quantum dense coding in classical optics
AIP Advances, 2016 We report on the experimental realization of the analogy of quantum dense coding in classical optical communication using classical optical correlations.
Zhenwei Yang +5 more
doaj +1 more source
Fractional statistics in anyon collisions [PDF]
Science, 2020 Looking for intermediate statistics Elementary particles in three dimensions are either bosons or fermions, depending on their spin. In two dimensions, it is in principle possible to have particles that lie somewhere in between, but detecting the ...
H. Bartolomei +11 more
semanticscholar +1 more source