Results 31 to 40 of about 24,896,554 (306)

Fractional Integral Inequalities via Hadamard’s Fractional Integral

Abstract and Applied Analysis, 2014
We establish new fractional integral inequalities, via Hadamard’s fractional integral. Several new integral inequalities are obtained, including a Grüss type Hadamard fractional integral inequality, by using Young and weighted AM-GM inequalities.
Weerawat Sudsutad, Sotiris K. Ntouyas, Jessada Tariboon   +2 more
doaj   +1 more source

Boundary Value Problems for Fractional Differential Equations with Fractional Multiterm Integral Conditions

Journal of Applied Mathematics, 2014
We discuss the existence and uniqueness of solutions for boundary value problems involving multiterm fractional integral boundary conditions. Our study relies on standard fixed point theorems. Illustrative examples are also presented.
Jessada Tariboon, Sotiris K. Ntouyas, Arisa Singubol   +2 more
doaj   +1 more source

Existence Results for Sequential Riemann–Liouville and Caputo Fractional Differential Inclusions with Generalized Fractional Integral Conditions

Mathematics, 2020
Under different criteria, we prove the existence of solutions for sequential fractional differential inclusions containing Riemann–Liouville and Caputo type derivatives and supplemented with generalized fractional integral boundary conditions.
Jessada Tariboon, Sotiris K. Ntouyas, Bashir Ahmad, Ahmed Alsaedi   +3 more
doaj   +1 more source

Henry-Gronwall Integral Inequalities with “Maxima” and Their Applications to Fractional Differential Equations

Abstract and Applied Analysis, 2014
Some new weakly singular Henry-Gronwall type integral inequalities with “maxima” are established in this paper. Applications to Caputo fractional differential equations with “maxima” are also presented.
Phollakrit Thiramanus, Jessada Tariboon, Sotiris K. Ntouyas   +2 more
doaj   +1 more source

Nonlocal boundary value problems for Hilfer-type pantograph fractional differential equations and inclusions

Advances in Difference Equations, 2020
In this paper, we study boundary value problems, involving the Hilfer fractional derivative, for pantograph fractional differential equations and inclusions supplemented by nonlocal integral boundary conditions.
Athasit Wongcharoen, Sotiris K. Ntouyas, Jessada Tariboon   +2 more
doaj   +1 more source

Investigation of a Nonlinear Coupled (k, ψ)–Hilfer Fractional Differential System with Coupled (k, ψ)–Riemann–Liouville Fractional Integral Boundary Conditions

Foundations, 2022
This paper is concerned with the existence of solutions for a new boundary value problem of nonlinear coupled (k,ψ)–Hilfer fractional differential equations subject to coupled (k,ψ)–Riemann–Liouville fractional integral boundary conditions.
Ayub Samadi, Sotiris K. Ntouyas, Bashir Ahmad, Jessada Tariboon   +3 more
doaj   +1 more source

Nonlinear Langevin Equation of Hadamard-Caputo Type Fractional Derivatives with Nonlocal Fractional Integral Conditions

Advances in Mathematical Physics, 2014
We study existence and uniqueness of solutions for a problem consisting of nonlinear Langevin equation of Hadamard-Caputo type fractional derivatives with nonlocal fractional integral conditions. A variety of fixed point theorems are used, such as Banach’
Jessada Tariboon, Sotiris K. Ntouyas, Chatthai Thaiprayoon   +2 more
doaj   +1 more source

On a Coupled Differential System Involving (k,ψ)-Hilfer Derivative and (k,ψ)-Riemann–Liouville Integral Operators

Axioms, 2023
We investigate a nonlinear, nonlocal, and fully coupled boundary value problem containing mixed (k,ψ^)-Hilfer fractional derivative and (k,ψ^)-Riemann–Liouville fractional integral operators.
Ayub Samadi, Sotiris K. Ntouyas, Bashir Ahmad, Jessada Tariboon   +3 more
doaj   +1 more source

Dynamic output nonfragile reliable control for nonlinear fractional-order glucose–insulin system [PDF]

, 2020
The main intention of this paper is to scrutinize the problem of internal model-based dynamic output feedback nonfragile reliable control problem for fractional-order glucose–insulin system.
Mohanapriya, Saminathan, Divya, Hari Hara Subramanian, Sakthivel, Rathinasamy, Ren, Yong   +3 more
core   +1 more source

Impulsive Multiorders Riemann-Liouville Fractional Differential Equations

Discrete Dynamics in Nature and Society, 2015
Impulsive multiorders fractional differential equations are studied. Existence and uniqueness results are obtained for first- and second-order impulsive initial value problems by using Banach’s fixed point theorem in an appropriate weighted space ...
Weera Yukunthorn, Sotiris K. Ntouyas, Jessada Tariboon   +2 more
doaj   +1 more source