Results 21 to 30 of about 69 (56)

Anomalous Diffusion Models Involving Regularized General Fractional Derivatives with Sonin Kernels

Fractal and Fractional
In this paper, we introduce a general fractional master equation involving regularized general fractional derivatives with Sonin kernels, and we discuss its physical characteristics and mathematical properties. First, we show that this master equation can be embedded into the framework of continuous time random walks, and we derive an explicit formula ...
Maryam Alkandari, Dimitri Loutchko, Yuri Luchko   +2 more
openaire   +2 more sources

On Symmetrical Sonin Kernels in Terms of Hypergeometric-Type Functions

Mathematics
In this paper, a new class of kernels of integral transforms of the Laplace convolution type that we named symmetrical Sonin kernels is introduced and investigated. For a symmetrical Sonin kernel given in terms of elementary or special functions, its associated kernel has the same form with possibly different parameter values. In the paper, several new
openaire   +2 more sources

Time fractional Yang-Abdel-Cattani derivative in generalized MHD Casson fluid flow with heat source and chemical reaction. [PDF]

Sci Rep, 2023
Sehra, Sadia H, Haq SU, Khan I.
europepmc   +1 more source

High-Degree Collisional Moments of Inelastic Maxwell Mixtures-Application to the Homogeneous Cooling and Uniform Shear Flow States. [PDF]

Entropy (Basel), 2023
Sánchez Romero C, Garzó V.
europepmc   +1 more source

General Non-Markovian Quantum Dynamics. [PDF]

Entropy (Basel), 2021
Tarasov VE.
europepmc   +1 more source

Improved Quantum-Classical Treatment of N₂-N₂ Inelastic Collisions: Effect of the Potentials and Complete Rate Coefficient Data Sets. [PDF]

J Chem Theory Comput, 2023
Hong Q, Storchi L, Sun Q, Bartolomei M, Pirani F, Coletti C.   +5 more
europepmc   +1 more source

Annular and circular rigid inclusions planted into a penny-shaped crack and factorization of triangular matrices. [PDF]

Proc Math Phys Eng Sci, 2020
Antipov YA, Mkhitaryan SM.
europepmc   +1 more source

Systematic investigation of theories of transport in the Lennard-Jones fluid. [PDF]

J Chem Phys, 2007
Dyer KM, Pettitt BM, Stell G.
europepmc   +1 more source

Exact Results for Non-Newtonian Transport Properties in Sheared Granular Suspensions: Inelastic Maxwell Models and BGK-Type Kinetic Model. [PDF]

Entropy (Basel)
Gómez González R, Garzó V.
europepmc   +1 more source

On a Gronwall-type inequality for the general fractional integrals with the Sonin kernels and its applications

Communications in Nonlinear Science and Numerical Simulation
Mohammed Al-Refai, Mohammadkheer Al-Jararha, Yuri Luchko   +2 more
openaire   +1 more source