Results 51 to 60 of about 25,337 (192)

A Study on the New Class of Inequalities of Midpoint‐Type and Trapezoidal‐Type Based on Twice Differentiable Functions with Conformable Operators

Journal of Function Spaces, Volume 2023, Issue 1, 2023., 2023
This paper derives some equalities via twice differentiable functions and conformable fractional integrals. With the help of the obtained identities, we present new trapezoid‐type and midpoint‐type inequalities via convex functions in the context of the conformable fractional integrals. New inequalities are obtained by taking advantage of the convexity
Hasan Kara, Hüseyin Budak, Sina Etemad, Shahram Rezapour, Hijaz Ahmad, Mohammed K. A. Kaabar, Marija Cvetkovic   +6 more
wiley   +1 more source

Finite‐Time Stability of Linear Conformable Stochastic Differential Equation with Finite Delay

Complexity, Volume 2023, Issue 1, 2023., 2023
This paper investigates the finite‐time stability (FTS) of a linear conformable stochastic differential equation with finite delay (LCSDEwFD). We use the Banach fixed point theorem (BFPT) to prove the existence and uniqueness of the solution and analyze the FTS of the system using the Gronwall inequalities.
Mohamed Rhaima, Lassaad Mchiri, A. Ben Makhlouf, Jesus M. Munoz-Pacheco   +3 more
wiley   +1 more source

Some New Generalizations for Exponentially s-Convex Functions and Inequalities via Fractional Operators

Fractal and Fractional, 2019
The main objective of this paper is to obtain the Hermite−Hadamard-type inequalities for exponentially s-convex functions via the Katugampola fractional integral.
Saima Rashid, Muhammad Aslam Noor, Khalida Inayat Noor, Ahmet Ocak Akdemir   +3 more
doaj   +1 more source

Theory of Fractional Hybrid Problems in the Frame of ψ‐Hilfer Fractional Operators

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
In the present manuscript, we develop and extend a qualitative analysis for two classes of boundary value problems for nonlinear hybrid fractional differential equations with hybrid boundary conditions involving a ψ‐Hilfer fractional order derivative introduced by Sousa and de Oliveira (2018).
Saeed M. Ali, Wedad Albalawi, Mohammed S. Abdo, Heba Y. Zahran, Abdel-Haleem Abdel-Aty, Youssri Hassan Youssri   +5 more
wiley   +1 more source

On ψ‐Caputo Partial Hyperbolic Differential Equations with a Finite Delay

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
In this work, we are concerned with some qualitative analyses of fractional‐order partial hyperbolic functional differential equations under the ψ‐Caputo type. To be precise, we investigate the existence and uniqueness results based on the nonlinear alternative of the Leray‐Schauder type and Banach contraction mapping.
Mohammed S. Abdo, Mohammed Zakarya, Emad E. Mahmoud, Saeed M. Ali, Abdel-Haleem Abdel-Aty, Yusuf Gurefe   +5 more
wiley   +1 more source

Some New Fractional Inequalities Involving Convex Functions and Generalized Fractional Integral Operator

Journal of Function Spaces, 2022
In this manuscript, we are getting some novel inequalities for convex functions by a new generalized fractional integral operator setting. Our results are established by merging the k,s-Riemann-Liouville fractional integral operator with the generalized ...
Majid K. Neamah, Alawiah Ibrahim, Hala Shaker Mehdy, Saleh S. Redhwan, Mohammed S. Abdo   +4 more
doaj   +1 more source

Qualitative Analysis for Multiterm Langevin Systems with Generalized Caputo Fractional Operators of Different Orders

Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
In this research work, we study two types of fractional boundary value problems for multi‐term Langevin systems with generalized Caputo fractional operators of different orders. The existence and uniqueness results are acquired by applying Sadovskii’s and Banach’s fixed point theorems, whereas the guarantee of the existence of solutions is shown by ...
Saeed M. Ali, Mohammed S. Abdo, Abdellatif Ben Makhlouf   +2 more
wiley   +1 more source

On new fractional integral inequalities for p-convexity within interval-valued functions

Advances in Difference Equations, 2020
This work mainly investigates a class of convex interval-valued functions via the Katugampola fractional integral operator. By considering the p-convexity of the interval-valued functions, we establish some integral inequalities of the Hermite–Hadamard ...
Thabet Abdeljawad, Saima Rashid, Hasib Khan, Yu-Ming Chu   +3 more
doaj   +1 more source

Controllability results to non-instantaneous impulsive with infinite delay for generalized fractional differential equations

Alexandria Engineering Journal, 2023
This paper discusses controllability results for active types with infinite-time delay of non-instantaneous impulsive fractional differential equations.
Ahmed Salem, Sanaa Abdullah
doaj   +1 more source