Results 151 to 157 of about 1,014 (157)

Riemann-Liouville and Caputo Fractional Approximation of Csiszar’s $f$-Divergence

Sarajevo Journal of Mathematics
Here are established various tight probabilistic inequalities that give nearly best estimates for the Csiszar's $f$-divergence. These involve Riemann-Liouville and Caputo fractional derivatives of the directing function $f.$ Also a lower bound is given ...
G. Anastassiou
semanticscholar   +1 more source

Right Caputo Fractional Landau Inequalities

Sarajevo Journal of Mathematics
Right Caputo fractional $\left\Vert \cdot \right\Vert _{p}$-Landau type inequalities, $p\in \left( 1,\infty \right] $ are obtained with applications on $\mathbb{R}_{-}$.   2000 Mathematics Subject Classification.
G. Anastassiou
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Fractional Integro-Differential Equations Involving $\psi$-Hilfer Fractional Derivative

Advances in Applied Mathematics and Mechanics, 2019
Considering a fractional integro-differential equation involving a general form of Hilfer fractional derivative with respect to another function. We show that weighted Cauchy-type problem is equivalent to a Volterra integral equation, we also prove the ...
Mohammed S. Abdo and Satish K. Panchal
semanticscholar   +1 more source

Multivariate fractional Taylor's formula revisited

Sarajevo Journal of Mathematics
This is a continuation of [2]. Here is established a multivariate fractional Taylor's formula via the Caputo fractional derivative. The fractional remainder is expressed as a composition of two Riemann-Liouville fractional integrals.   2000 Mathematics
G. Anastassiou
semanticscholar   +1 more source

Existence results for some fractional order coupled systems with impulses and nonlocal conditions on the half line

Studia Universitatis Babeş-Bolyai. Mathematica
. In this paper, we deal with initial value problems for coupled systems of nonlinear fractional differential equations, subject to coupled nonlocal initial and impulsive conditions on the half line. Global existence-uniqueness results are obtained under
Khadidja Nisse
semanticscholar   +1 more source

Monotone iterative technique for a sequential delta-Caputo fractional differential equations with nonlinear boundary conditions

Studia Universitatis Babeş-Bolyai. Mathematica
. In this article, we discuss the existence of extremal solutions for a class of nonlinear sequential δ–Caputo fractional differential equations involving nonlinear boundary conditions. Our results are founded on advanced functional analysis methods.
Z. Baitiche, C. Derbazi, A. Salim, M. Benchohra   +3 more
semanticscholar   +1 more source

Existence, uniqueness and stability analysis for a $\mathfrak{f}$-Caputo generalized proportional fractional boundary problem with distinct generalized integral conditions

Boundary Value Problems
Hamid Lmou, Samira Zerbib, Sina Etemad, İbrahim Avcı, Raaid Alubady   +4 more
semanticscholar   +1 more source