Results 181 to 190 of about 2,984 (190)

Existence and Ulam stability of initial value problem for fractional perturbed functional q-difference equations

Studia Universitatis Babeş-Bolyai. Mathematica
. In this work, we discuss the existence and uniqueness of solutions to the initial value problem for perturbed functional fractional q-difference equations involving q-derivative of the Caputo sense.
Nadia Allouch, Samira Hamami
semanticscholar   +1 more source

Complexified Lie Algebroids From a Generalized Stieltjes Action Approach to the Calculus of Variations

Sarajevo Journal of Mathematics
In this work, we communicate the issue of Lie algebroids. More precisely, we discuss the subject based on the generalized Stieltjes fractal-like approach of the calculus of variations.
A. R. El-Nabulsi, Guo-Cheng Wu, Mubasher Jamil   +2 more
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

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

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
semanticscholar   +1 more source

Existence and stability results to a class of $\psi$-Hilfer fractional Langevin inclusions with impulsive and time delay

Advanced Studies: Euro-Tbilisi Mathematical Journal
This work explores the stability and existence of a class of fractional Langevin inclusions with impulsive and time delay effects involving ψ -Hilfer derivative.
Ayoub Louakar, A. Kajounı, K. Hilal, Hamid Lmou   +3 more
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

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

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