Results 141 to 145 of about 10,839 (145)

Numerical approximation of Riemann‐Liouville definition of fractional derivative: From Riemann‐Liouville to Atangana‐Baleanu

Numerical Methods for Partial Differential Equations, 2017
In the last decade, theoretical and applied studies were done in order to provide a suitable definition of fractional derivative, which meets all the requirement of a derivative in its primary sense. It was concluded by some eminent researchers that the Riemann‐Liouville version was the most suitable. However, many numerical approximation of fractional
Abdon Atangana, J. F. Gómez‐Aguilar
openaire   +2 more sources

The Riemann–Liouville Fractional Δ-Integral and the Riemann–Liouville Fractional Δ-Derivative on Time Scales

2018
In this chapter we suppose that \(\mathbb {T}\) is a time scale with forward jump operator and delta differentiation operator σ and Δ, respectively.
openaire   +2 more sources

Fractional diffusion equation with a generalized Riemann–Liouville time fractional derivative

Journal of Physics A: Mathematical and Theoretical, 2011
In this paper, the solution of a fractional diffusion equation with a Hilfer-generalized Riemann–Liouville time fractional derivative is obtained in terms of Mittag–Leffler-type functions and Fox's H-function. The considered equation represents a quite general extension of the classical diffusion (heat conduction) equation. The methods of separation of
Živorad Tomovski, Trifce Sandev, Ralf Metzler, Ralf Metzler   +3 more
openaire   +2 more sources

Hardy type inequalities for fractional integrals and derivatives of Riemann–Liouville

Lobachevskii Journal of Mathematics, 2017
© 2017, Pleiades Publishing, Ltd. We prove new Hardy type inequalities for Riemann–Liouville fractional integrals and derivatives in the case when the weight function have power and logarithmic singularities.
openaire   +3 more sources

Riemann—Liouville Opial—type Inequalities for Fractional Derivatives

2009
openaire   +2 more sources