Advances in the Theory of Nonlinear Analysis and its Application
In this work, a new class of sequential random differential equations of Airy type is introduced.... more In this work, a new class of sequential random differential equations of Airy type is introduced. An existence and uniqueness criteria for stochastic process solutions for the introduced class is discussed. Some notions on β−differential dependance are also introduced. Then, new results on the β−dependance are discussed. At the end, some illustrative examples are discussed.
International Journal of Nonlinear Analysis and Applications, 2021
In this paper, we are concerned with a class of fractional integral inequalities of Gronwall type... more In this paper, we are concerned with a class of fractional integral inequalities of Gronwall type. New integral results with some generalizations are proved. Then, some applications on hybrid differential equations with Hadamard derivative are established.
Moroccan Journal of Pure and Applied Analysis, 2022
This article deals with a solvability for a problem of random fractional differential equations w... more This article deals with a solvability for a problem of random fractional differential equations with n sequential derivatives and nonlocal conditions. The existence and uniqueness of solutions for the problem is obtained by using Banach contraction principle. New random data concepts for the considered problem are introduced and some related definitions are given. Also, some results related to the dependance on the introduced data are established for both random and deterministic cases.
In this paper, we use the Riemann-Liouville fractional inte-grals to generate some new integral i... more In this paper, we use the Riemann-Liouville fractional inte-grals to generate some new integral inequalities involving con-cave functions. We also establish some other results using positive functions. Other fractional results using Qi inequali-ties are also presented.
Electronic Journal of Differential Equations, 2007
Abstract. In this paper, we are concerned with the initial boundary value problem (IBVP) and with... more Abstract. In this paper, we are concerned with the initial boundary value problem (IBVP) and with the Cauchy problem to the reaction-diffusion system ut−∆ u=− un|∇ v| p, vt− d∆ v= un|∇ v| p, where 1≤ p≤ 2, d and n are positive real numbers. Results on the existence and ...
Journal of Interdisciplinary Mathematics, Oct 1, 2013
Abstract This paper presents approximate solutions for the fractional differential dynamical mode... more Abstract This paper presents approximate solutions for the fractional differential dynamical model of speech gestures. The fractional derivatives are described in the Caputo sense. Using the ADM method, we obtain new approximate results when the equation parameters are changed. The behaviour of Adomian solutions are shown graphically for some illustrative examples.
Abstract This paper presents approximate solutions for the fractional differential dynamical mode... more Abstract This paper presents approximate solutions for the fractional differential dynamical model of speech gestures. The fractional derivatives are described in the Caputo sense. Using the ADM method, we obtain new approximate results when the equation parameters are changed. The behaviour of Adomian solutions are shown graphically for some illustrative examples.
Advances in the Theory of Nonlinear Analysis and its Application
In this work, a new class of sequential random differential equations of Airy type is introduced.... more In this work, a new class of sequential random differential equations of Airy type is introduced. An existence and uniqueness criteria for stochastic process solutions for the introduced class is discussed. Some notions on β−differential dependance are also introduced. Then, new results on the β−dependance are discussed. At the end, some illustrative examples are discussed.
International Journal of Nonlinear Analysis and Applications, 2021
In this paper, we are concerned with a class of fractional integral inequalities of Gronwall type... more In this paper, we are concerned with a class of fractional integral inequalities of Gronwall type. New integral results with some generalizations are proved. Then, some applications on hybrid differential equations with Hadamard derivative are established.
Moroccan Journal of Pure and Applied Analysis, 2022
This article deals with a solvability for a problem of random fractional differential equations w... more This article deals with a solvability for a problem of random fractional differential equations with n sequential derivatives and nonlocal conditions. The existence and uniqueness of solutions for the problem is obtained by using Banach contraction principle. New random data concepts for the considered problem are introduced and some related definitions are given. Also, some results related to the dependance on the introduced data are established for both random and deterministic cases.
In this paper, we use the Riemann-Liouville fractional inte-grals to generate some new integral i... more In this paper, we use the Riemann-Liouville fractional inte-grals to generate some new integral inequalities involving con-cave functions. We also establish some other results using positive functions. Other fractional results using Qi inequali-ties are also presented.
Electronic Journal of Differential Equations, 2007
Abstract. In this paper, we are concerned with the initial boundary value problem (IBVP) and with... more Abstract. In this paper, we are concerned with the initial boundary value problem (IBVP) and with the Cauchy problem to the reaction-diffusion system ut−∆ u=− un|∇ v| p, vt− d∆ v= un|∇ v| p, where 1≤ p≤ 2, d and n are positive real numbers. Results on the existence and ...
Journal of Interdisciplinary Mathematics, Oct 1, 2013
Abstract This paper presents approximate solutions for the fractional differential dynamical mode... more Abstract This paper presents approximate solutions for the fractional differential dynamical model of speech gestures. The fractional derivatives are described in the Caputo sense. Using the ADM method, we obtain new approximate results when the equation parameters are changed. The behaviour of Adomian solutions are shown graphically for some illustrative examples.
Abstract This paper presents approximate solutions for the fractional differential dynamical mode... more Abstract This paper presents approximate solutions for the fractional differential dynamical model of speech gestures. The fractional derivatives are described in the Caputo sense. Using the ADM method, we obtain new approximate results when the equation parameters are changed. The behaviour of Adomian solutions are shown graphically for some illustrative examples.
Uploads
Papers by Zoubir DAHMANI