Search results for: Abdourazek Souahi

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Some weighted Ostrowski‐type inequalities for differentiable preinvex functions

Badreddine Meftah, Abdourazek Souahi

Mathematical Methods in the Applied Sciences > 44 > 18 > 14892 - 14914

In this study, we establish a new weighted integral identity and used it to establish some new weighted Ostrowski‐type inequalities for functions whose modulus of the first derivatives are preinvex, which the obtained results represent generalizations as well as refinements for some known results. Finally, we explain our results by giving some applications dealing with the random variables and the...

article

Fractional Hermite-Hadamard type integral inequalities for functions whose modulus of the mixed derivatives are co-ordinated s-preinvex in the second sense

Badreddine Meftah, Abdourazek Souahi

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica > 2019 > 18 > 67-83

In this paper we establish a new fractional identity involving a function oftwo independent variables, and then we derive some fractionalHermite-Hadamard type integral inequalities for functions whose modulus ofthe mixed derivatives are co-ordinated s-preinvex in the second sense.

article

Stability analysis of conformable fractional-order nonlinear systems

Abdourazek Souahi, Abdellatif Ben Makhlouf, Mohamed Ali Hammami

Indagationes Mathematicae > 2017 > 28 > 6 > 1265-1274

In this paper, we study the stability and asymptotic stability of conformable fractional-order nonlinear systems by using Lyapunov function.

article

Positive Solutions for Higher-Order Nonlinear Fractional Differential Equations

Abdourazek Souahi, Assia Guezane-Lakoud, Amara Hitta

Vietnam Journal of Mathematics > 2017 > 45 > 3 > 441-450

This paper investigates the existence of positive solutions for a class of higher-order nonlinear fractional differential equations with initial conditions given for ordinary as well as fractional derivatives of the unknown function. We assume that the nonlinear term f involves also derivatives of fractional order. The results are established by converting the problem into an equivalent integral equation...

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Keywords

HÖLDER INEQUALITY (2)
ASYMPTOTIC STABILITY (1)
BOUNDARY VALUE PROBLEM (1)
CO-ORDINATED PREINVEX (1)
CO-ORDINATED S-PREINVEX (1)
CONFORMABLE FRACTIONAL DERIVATIVE (1)
FIXED POINT THEOREM GUO–KRASNOSELSKII (1)
FRACTIONAL DERIVATIVE (1)
FRACTIONAL DIFFERENTIAL EQUATION (1)
FRACTIONAL EXPONENTIAL STABILITY (1)
INTEGRAL INEQUALITY (1)
OSTROWSKI INEQUALITY (1)
POSITIVE SOLUTION (1)
POWER MEAN INEQUALITY (1)
PREINCAVE FUNCTIONS (1)
PREINVEX FUNCTIONS (1)
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Search results for: Abdourazek Souahi

Some weighted Ostrowski‐type inequalities for differentiable preinvex functions

Fractional Hermite-Hadamard type integral inequalities for functions whose modulus of the mixed derivatives are co-ordinated s-preinvex in the second sense

Stability analysis of conformable fractional-order nonlinear systems

Positive Solutions for Higher-Order Nonlinear Fractional Differential Equations

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