Mohamed Houas
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View article: Solvability and stability results for coupled hybrid system with sequential Caputo fractional derivatives
Solvability and stability results for coupled hybrid system with sequential Caputo fractional derivatives Open
We obtain new results regarding the existence, uniqueness, and stability of solutions for a class of fractional Caputo sequential coupled hybrid system which are investigated by applying fixed-point theorems such as Banach’s contraction ma…
View article: Existence and stability of solutions for fractional quantum hybrid pantograph problem
Existence and stability of solutions for fractional quantum hybrid pantograph problem Open
In this present work, we study a nonlinear fractional q-differential hybrid pantograph equation. We prove the uniqueness and estimate of solutions by means of Banach’s fixed point theorem and using the generalization of Gronwall’s inequali…
View article: Solvability and Ulam–Hyers–Rassias stability for generalized sequential quantum fractional pantograph equations
Solvability and Ulam–Hyers–Rassias stability for generalized sequential quantum fractional pantograph equations Open
In the present manuscript, we discuss the existence, uniqueness an Ulam-stability of solutions for sequential fractional pantograph equations involving n Caputo and one Riemann–Liouville q−fractional derivatives. We prove the uniqueness of…
View article: On a Duffing-type oscillator differential equation on the transition to chaos with fractional q-derivatives
On a Duffing-type oscillator differential equation on the transition to chaos with fractional q-derivatives Open
In this paper, by applying fractional quantum calculus, we study a nonlinear Duffing-type equation with three sequential fractional q -derivatives. We prove the existence and uniqueness results by using standard fixed-point theorems (Banac…
View article: RETRACTED: Existence results for system of generalized hybrid pantograph equations of sequential type
RETRACTED: Existence results for system of generalized hybrid pantograph equations of sequential type Open
The authors have requested that this preprint be removed from Research Square.
View article: Existence and stability analysis to the sequential coupled hybrid system of fractional differential equations with two different fractional derivatives
Existence and stability analysis to the sequential coupled hybrid system of fractional differential equations with two different fractional derivatives Open
In this paper, we discussed the existence, uniqueness and Ulam-type stability of solutions for sequential coupled hybrid fractional differential equations with two derivatives. The uniqueness of solutions is established by means of Banach'…
View article: Solvability and stability for a fractional quantum jerk type problem including Riemann–Liouville-Caputo fractional <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e2633" altimg="si379.svg"><mml:mrow><mml:mi>q</mml:mi><mml:mo>−</mml:mo></mml:mrow></mml:math>derivatives
Solvability and stability for a fractional quantum jerk type problem including Riemann–Liouville-Caputo fractional derivatives Open
This manuscript studies the existence and Ulam–Hyers stability results of solutions of q−fractional jerk type problem. The uniqueness of solutions is established by means of Banach’s contraction mapping principle, while the existence of so…
View article: A coupled system of q-fractional Lane-Emden problem involving three sequential q-fractional derivatives with stability inequality
A coupled system of q-fractional Lane-Emden problem involving three sequential q-fractional derivatives with stability inequality Open
In the current manuscript, we consider a sequential q -fractional Lane-Emden system involving Riemann-Liouville and Caputo type fractional q -derivatives. We prove the uniqueness of solutions by means Banach fixed point theorems. Then, to …
View article: Multi-step methods’ ability on the existence of solutions of multi-term fractional q−differential equations with arbitrary fractional order
Multi-step methods’ ability on the existence of solutions of multi-term fractional q−differential equations with arbitrary fractional order Open
This paper thinks about a nonlinear multi term q–differential conditions of arbitrary fractional orders. New existence and uniqueness comes about are built up utilizing Ba-nach contraction principle. Other existence results are gotten util…
View article: Existence and Mittag-Leffler-Ulam-Stability results of sequential fractional hybrid pantograph equations
Existence and Mittag-Leffler-Ulam-Stability results of sequential fractional hybrid pantograph equations Open
In this present work, the existence and uniqueness of solutions for fractional pantograph differential equations involving Riemann-Liouville and Caputo fractional derivatives are established by applying contraction mapping principle and Le…
View article: Analysis of the far-field behavior of waves in magnetogasdynamic
Analysis of the far-field behavior of waves in magnetogasdynamic Open
Herein the research objects, a hyperbolic quasi-linear system of governing equations was solved by an asymptotic method (far-field technique) with explaining a 1-D unsteady planar and cylindrically symmetric flows in magnetogasdynamics. T…
View article: Application of fractional quantum calculus on coupled hybrid differential systems within the sequential Caputo fractional<i>q</i>-derivatives
Application of fractional quantum calculus on coupled hybrid differential systems within the sequential Caputo fractional<i>q</i>-derivatives Open
In the current manuscript, we combine the q -fractional integral operator and q -fractional derivative to investigate a coupled hybrid fractional q -differential systems with sequential fractional q -derivatives. The existence and uniquene…
View article: Existence and stability of solutions for linear and nonlinear damping of q−fractional Duffing-Rayleigh problem
Existence and stability of solutions for linear and nonlinear damping of q−fractional Duffing-Rayleigh problem Open
In this current paper, by using q−fractional calculus, we study the Duffing-Rayleigh type problem with sequential fractional q−derivative of the Caputo type. We investigate the existence and uniqueness of solutions by applying some classic…
View article: EXISTENCE AND ULAM STABILITY OF SOLUTIONS FOR NONLINEAR CAPUTO-HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS INVOLVING TWO FRACTIONAL ORDERS
EXISTENCE AND ULAM STABILITY OF SOLUTIONS FOR NONLINEAR CAPUTO-HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS INVOLVING TWO FRACTIONAL ORDERS Open
In this paper, we study existence, uniqueness and Ulam-Hyers stability of solutions for integro-differential equations involving two fractional orders. By using Banach's fixed point theorem, we obtain some sufficient conditions for the exi…
View article: Sequential fractional pantograph differential equations with nonlocal boundary conditions: Uniqueness and Ulam-Hyers-Rassias stability
Sequential fractional pantograph differential equations with nonlocal boundary conditions: Uniqueness and Ulam-Hyers-Rassias stability Open
In the current manuscript, we study the uniqueness and Ulam-stability of solutions for sequential fractionalpantograph differential equations with nonlocal boundary conditions. The uniqueness of solutions is es-tablished by Banach's fixed …
View article: Existence and stability results of pantograph equation with three sequential fractional derivatives
Existence and stability results of pantograph equation with three sequential fractional derivatives Open
The subject of this work is the existence and Mittag-Leffler-Ulam (MLU) stability of solutions for fractional pantograph equations with three sequential fractional derivatives. Sufficient conditions for the existence and uniqueness of solu…
View article: Existence and stability results for hybrid fractional q- differential pantograph equations
Existence and stability results for hybrid fractional q- differential pantograph equations Open
In this manuscript, we discuss the existence, uniqueness, estimate and stability of solutions for nonlinear hybrid fractional q− differential pantograph equations. The existence and uniqueness of solutions are derived from Banach contracti…
View article: Existence of solutions for Caputo fractional q-differential equations
Existence of solutions for Caputo fractional q-differential equations Open
In this work, we study existence and uniqueness of solutions for multi-point boundary value problem of nonlinear fractional differential equations with two fractional derivatives. By using the variety of fixed point theorems, such as Banac…
View article: Existence of solutions for a coupled system of Caputo-Hadamard type fractional di¤erential equations with Hadamard fractional integral conditions
Existence of solutions for a coupled system of Caputo-Hadamard type fractional di¤erential equations with Hadamard fractional integral conditions Open
In this work, we study existence and uniqueness of solutions for a coupled system of nonlinear fractional di¤erential equations involving two Caputo-Hadamard-type fractional derivatives. By applying the Banach's fixed point theorem and Sha…
View article: EXISTENCE AND UNIQUENESS RESULTS FOR A COUPLED SYSTEM OF HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS WITH MULTI-POINT BOUNDARY CONDITIONS
EXISTENCE AND UNIQUENESS RESULTS FOR A COUPLED SYSTEM OF HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS WITH MULTI-POINT BOUNDARY CONDITIONS Open
In this paper, we have studied existence and uniqueness of solutions for a coupled system of multi-point boundary value problems for Hadamard fractional differential equations. By applying principle contraction and Shaefer's fixed point th…
View article: Solvability for a nonlinear coupled system of Caputo fractional q−differential equations with nonlocal boundary conditions
Solvability for a nonlinear coupled system of Caputo fractional q−differential equations with nonlocal boundary conditions Open
In this work, we study a nonlinear coupled system of fractional q-difference equations with nonlocal boundary conditions involving the fractional q-derivatives of the Caputo type. Uniqueness result for solution of the underlying problem is …
View article: Some estimations on continuous random variables for (<i>k</i>,<i>s</i>) −fractional integral operators
Some estimations on continuous random variables for (<i>k</i>,<i>s</i>) −fractional integral operators Open
In this work, we establish some new ( k , s ) −fractional integral inequalities of continuous random variables by using the ( k , s ) −Riemann-Liouville fractional integral operator.
View article: EXISTENCE AND STABILITY RESULTS FOR FRACTIONAL DIFFERENTIAL EQUATIONS WITH TWO CAPUTO FRACTIONAL DERIVATIVES
EXISTENCE AND STABILITY RESULTS FOR FRACTIONAL DIFFERENTIAL EQUATIONS WITH TWO CAPUTO FRACTIONAL DERIVATIVES Open
In this paper, we discuss the existence, uniqueness and stability of solutions for a nonlocal boundary value problem of nonlinear fractional differential equations with two Caputo fractional derivatives. By applying the contraction mapping …
View article: Some integral inequalities for (<i>k, s</i>) – Riemann-Liouville fractional operators
Some integral inequalities for (<i>k, s</i>) – Riemann-Liouville fractional operators Open
In this paper, by using a new fractional integral approach of M.Z. Sarikaya et al., we establish new generalized fractional integral inequalities involving (k, s) – Riemann-Liouville integral operators. Some classical and non classical int…
View article: New integral inequalities for (r,alpha)-fractional moments of continuous random variables
New integral inequalities for (r,alpha)-fractional moments of continuous random variables Open
In this paper, we establish new integral inequalities for continuous random variables. By introducing new concepts on fractional moments of continuous random variables, we generalize some interesting results of P. Kumar. Other fractional i…