Results 51 to 60 of about 19,938 (283)

Existence of positive solutions for a system of semipositone fractional boundary value problems [PDF]

, 2016
We investigate the existence of positive solutions for a system of nonlinear Riemann-Liouville fractional differential equations with sign-changing nonlinearities, subject to coupled integral boundary ...
Henderson, Johnny, Luca, Rodica
core   +2 more sources

On Hadamard Type Fractional Inequalities for Riemann–Liouville Integrals via a Generalized Convexity

Fractal and Fractional, 2022
In the literature of mathematical inequalities, convex functions of different kinds are used for the extension of classical Hadamard inequality. Fractional integral versions of the Hadamard inequality are also studied extensively by applying Riemann ...
Tao Yan, Ghulam Farid, Hafsa Yasmeen, Chahn Yong Jung   +3 more
doaj   +1 more source

Nonlinear Caputo Fractional Derivative with Nonlocal Riemann-Liouville Fractional Integral Condition Via Fixed Point Theorems

Symmetry, 2019
In this paper, we study and investigate an interesting Caputo fractional derivative and Riemann–Liouville integral boundary value problem (BVP): c D 0 + q u ( t ) = f ( t , u ( t ) ) , t ∈ [ 0 , T ] , u ( k ) ( 0 ) = ξ k , u ( T ) = ∑ i = 1 m β i R L I 0
Piyachat Borisut, Poom Kumam, Idris Ahmed, K. Sitthithakerngkiet   +3 more
semanticscholar   +1 more source

On some generalized integral inequalities for Riemann-Liouville fractional integrals

Filomat, 2015
In this paper, we give a generalized Montogomery identities for the Riemann-Liouville fractional integrals. We also use this Montogomery identities to establish some new Ostrowski type integral inequalities.
Sarıkaya, Mehmet Zeki, Filiz, Hatice, Kiriş, Mehmet Eyüp   +2 more
openaire   +4 more sources

Assembling classical and dynamic inequalities accumulated on calculus of time scales

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2020
In this paper, we present an extension of dynamic Renyi’s inequality on time scales by using the time scale Riemann–Liouville type fractional integral. Furthermore, we find generalizations of the well–known Lyapunov’s inequality and Radon’s inequality on
Sahir, M.J.S.
doaj   +1 more source

Solutions to a class of nonlinear differential equations of fractional order [PDF]

, 2009
In this paper we investigate the formulation of a class of boundary value problems of fractional order with the Riemann-Liouville fractional derivative and integral-type boundary conditions.
Kosmatov, Nickolai
core   +1 more source

Left Riemann–Liouville Fractional Sobolev Space on Time Scales and Its Application to a Fractional Boundary Value Problem on Time Scales

Fractal and Fractional, 2022
First, we show the equivalence of two definitions of the left Riemann–Liouville fractional integral on time scales. Then, we establish and characterize fractional Sobolev space with the help of the notion of left Riemann–Liouville fractional derivative ...
Xing Hu, Yongkun Li
doaj   +1 more source

A comprehensive review of Grüss-type fractional integral inequality

AIMS Mathematics
A survey of results on Grüss-type inequalities associated with a variety of fractional integral and differential operators is presented. The fractional differential operators includes, Riemann-Liouville fractional integral operators, Riemann-Liouville ...
Muhammad Tariq, Sotiris K. Ntouyas, Hijaz Ahmad , Asif Ali Shaikh, Bandar Almohsen , Evren Hincal   +5 more
doaj   +1 more source

Integral presentations of the solution of a boundary value problem for impulsive fractional integro-differential equations with Riemann-Liouville derivatives

AIMS Mathematics, 2022
Riemann-Liouville fractional differential equations with impulses are useful in modeling the dynamics of many real world problems. It is very important that there are good and consistent theoretical proofs and meaningful results for appropriate problems.
Ravi Agarwal , Snezhana Hristova, Donal O'Regan   +2 more
doaj   +1 more source

On New Inequalities for h-convex Functions via Riemann-Liouville Fractional Integration

, 2012
In this paper, some new inequalities of the Hermite-Hadamard type for h-convex functions via Riemann-Liouville fractional integral are ...
Tunc, Mevlut
core   +1 more source