Results 131 to 140 of about 19,938 (283)

Effect of the Riemann-Liouville fractional integral on unbounded variation points

, 2020
This paper targets to study the effect of the Riemann-Liouville fractional integral operator on unbounded variation points of a continuous function. In particular, we show that the fractional integral preserves the bounded variation points of a function.
Verma, S., Liang, Y. S.
openaire   +2 more sources

Hadamard and Fejér–Hadamard Inequalities for $\left(\alpha ,h-m\right)-p$-Convex Functions via Riemann–Liouville Fractional Integrals [PDF]

, 2021
Wenyan Jia, Muhammad Yussouf, Ghulam Farid, Khuram Ali Khan   +3 more
openalex   +1 more source

Unique Existence Result of Approximate Solution to Initial Value Problem for Fractional Differential Equation of Variable Order Involving the Derivative Arguments on the Half-Axis

Mathematics, 2019
The semigroup properties of the Riemann–Liouville fractional integral have played a key role in dealing with the existence of solutions to differential equations of fractional order.
Shuqin Zhang, Lei Hu
doaj   +1 more source

Riemann-Stieltjes Integral boundary value problems involving mixed Riemann-Liouville and Caputo fractional derivatives [PDF]

, 2021
Bashir Ahmad, Ymnah Alruwaily, Ahmed Alsaedi, Sotiris K. Ntouyas   +3 more
openalex   +1 more source

On Solution Representation of Generalized Abel Integral Equation

Journal of Mathematics, 2013
An explicit representation for solution of the generalized Abel integral equation , where is the Riemann-Liouville fractional integral, in terms of the Wright function, is constructed.
Arsen Pskhu
doaj   +1 more source

A study of Riemann-Liouville fractional nonlocal integral boundary value problems [PDF]

, 2013
Bashir Ahmad, Ahmed Alsaedi, Afrah Assolami, Ravi P. Agarwal   +3 more
openalex   +1 more source

Fractional fundamental lemma and fractional integration by parts formula -- Applications to critical points of Bolza functionals and to linear boundary value problems

, 2015
In the first part of the paper, we prove a fractional fundamental (du Bois-Reymond) lemma and a fractional variant of the integration by parts formula. The proof of the second result is based on an integral representation of functions possessing Riemann ...
Bourdin, Loïc, Idczak, Dariusz
core   +1 more source

Existence and Uniqueness Results for Fractional Differential Equations with Riemann-Liouville Fractional Integral Boundary Conditions

, 2015
We prove the existence and uniqueness of solution for fractional differential equations with Riemann-Liouville fractional integral boundary conditions. The first existence and uniqueness result is based on Banach’s contraction principle.
M. Abbas
semanticscholar   +1 more source

Existence of Solutions to a System of Riemann-Liouville Fractional Differential Equations with Coupled Riemann-Stieltjes Integrals Boundary Conditions [PDF]

, 2022
Ma Yuan, Dehong Ji
openalex   +1 more source

Unique Solution of a Coupled Fractional Differential System Involving Integral Boundary Conditions from Economic Model

Abstract and Applied Analysis, 2013
We study the existence and uniqueness of the positive solution for the fractional differential system involving the Riemann-Stieltjes integral boundary conditions , , , , , and , where , , and and are the standard Riemann-Liouville derivatives, and ...
Rui Li, Haoqian Zhang, Hao Tao
doaj   +1 more source