Results 31 to 40 of about 306,804 (149)

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

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

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

Some Simpson’s Riemann–Liouville Fractional Integral Inequalities with Applications to Special Functions

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
Based on the Riemann–Liouville fractional integral, a new form of generalized Simpson‐type inequalities in terms of the first derivative is discussed. Here, some more inequalities for convexity as well as concavity are established. We expect that present outcomes are the generalization of already obtained results.
Jamshed Nasir, Shahid Qaisar, Saad Ihsan Butt, Khuram Ali Khan, Rostin Matendo Mabela, Muhammad Arif   +5 more
wiley   +1 more source

A New Result for ψ‐Hilfer Fractional Pantograph‐Type Langevin Equation and Inclusions

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In this paper, we deal with the existence and uniqueness of solution for ψ‐Hilfer Langevin fractional pantograph differential equation and inclusion; these types of pantograph equations are a special class of delay differential equations. The existence and uniqueness results are obtained by making use of the Krasnoselskii fixed‐point theorem and Banach
Hamid Lmou, Khalid Hilal, Ahmed Kajouni, Serkan Araci   +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

[Retracted] Novel Analysis of Fuzzy Physical Models by Generalized Fractional Fuzzy Operators

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
The present article correlates with a fuzzy hybrid technique combined with an iterative transformation technique identified as the fuzzy new iterative transform method. With the help of Atangana‐Baleanu under generalized Hukuhara differentiability, we demonstrate the consistency of this method by achieving fuzzy fractional gas dynamics equations with ...
Mohammed Kbiri Alaoui, F. M. Alharbi, Shamsullah Zaland, Muhammad Gulzar   +3 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

An Efficient Method for Solving Fractional Black‐Scholes Model with Index and Exponential Decay Kernels

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
The Black‐Scholes equation (BSe) is fascinating in the business world for predicting the performance of financial investment valuation systems. The Caputo fractional derivative (CFD) and Caputo‐Fabrizio fractional derivative operators are used in this research to analyze the BSe.
Saima Rashid, Saad Ihsan Butt, Zakia Hammouch, Ebenezer Bonyah, Alexander Meskhi   +4 more
wiley   +1 more source