Results 31 to 40 of about 183 (79)
, 2011 Using the Mellin transform approach, it is shown that, in contrast with integer-order derivatives, the fractional-order derivative of a periodic function cannot be a function with the same period.
Kaslik, Eva, Sivasundaram, Seenith
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Recent history of fractional calculus [PDF]
, 2011 This survey intends to report some of the major documents and events in the area of fractional calculus that took place since 1974 up to the present ...
Kiryakova, Virginia +2 more
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SOLUTIONS FOR THE FRACTIONAL MATHEMATICAL MODELS OF DIFFUSION PROCESS [PDF]
, 2022 In this research we present two new approaches with Laplace transformation to form the truncated solution of space-time fractional differential equations (STFDE) with mixed boundary conditions.
Baleanu, Dumitru +3 more
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1/2-Laplacian problems with exponential nonlinearity
, 2013 By exploiting a suitable Trudinger-Moser inequality for fractional Sobolev spaces, we obtain existence and multiplicity of solutions for a class of one-dimensional nonlocal equations with fractional diffusion and nonlinearity at exponential growth ...
Iannizzotto, Antonio, Squassina, Marco
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Journal of Mathematics, Volume 2025, Issue 1, 2025.This study aims to present a spectral collocation approach for treating fractional Bagley–Torvik equations using fractional basis functions. The Bagley–Torvik equation is critically important in a wide range of applied scientific and engineering disciplines. The fractional form of the Bagley–Torvik equations enables the modeling of complex systems with
Taghipour M., Aminikhah H., Chang Phang
wiley +1 more source
A Poster about the Recent History of Fractional Calculus [PDF]
, 2010 MSC 2010: 26A33, 05C72, 33E12, 34A08, 34K37, 35R11, 60G22In the last decades fractional calculus became an area of intense re-search and development.
Kiryakova, Virginia +2 more
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Existence results for fractional integro-differential inclusions with state-dependent delay
Nonautonomous Dynamical Systems, 2017 In this paper we are concerned with a class of abstract fractional integro-differential inclusions with infinite state-dependent delay. Our approach is based on the existence of a resolvent operator for the homogeneous equation.We establish the existence
Siracusa Giovana +2 more
doaj +1 more source
Non-local Torsion functions and Embeddings
, 2018 Given $s \in (0,1)$, we discuss the embedding of $\mathcal D^{s,p}_0(\Omega)$ in $L^q(\Omega)$. In particular, for $1\le q < p$ we deduce its compactness on all open sets $\Omega\subset \mathbb R^N$ on which it is continuous. We then relate, for all q up
Franzina, Giovanni
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A Poster about the Old History of Fractional Calculus [PDF]
, 2010 MSC 2010: 26A33, 05C72, 33E12, 34A08, 34K37, 35R11, 60G22The fractional calculus (FC) is an area of intensive research and development. In a previous paper and poster we tried to exhibit its recent state, surveying the period of 1966-2010.
Kiryakova, Virginia +2 more
core
Nonlocal problems at critical growth in contractible domains
, 2015 We prove the existence of a positive solution for nonlocal problems involving the fractional Laplacian and a critical growth power nonlinearity when the equation is set in a suitable contractible domain.Comment: 17 ...
Mosconi, Sunra +2 more
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