Results 101 to 110 of about 2,981 (208)

Qualitative Theory for Fractional Order Riemann-Liouville Integral Equations in Two Independent Variables [PDF]

, 2016
[[abstract]]In this paper, we present some results concerning the existence and uniqueness and global asymptotic stability of solutions for a functional integral equation of Riemann-Liouville fractional order, by using some fixed point theorems for the ...
Sa¨ıd Abbas, Mouffak Benchohra
core  

Lp-solutions for fractional integral equations [PDF]

, 2014
In this article, we examine L (p) -solutions of fractional integral equations in Banach spaces involving the Riemann-Liouville integral operator. Using a compactness type condition, we obtain local and global existence of solutions.
Arshad, Sadia, O’Regan, Donal, Lupulescu, Vasile   +2 more
core   +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

On a Hardy’s inequality for a fractional integral operator [PDF]

, 2018
In the present work we find inequalities that generalize some results found by Iqbal in [4, 5] regarding Riemann-Liouville fractional integral, by means of a Hardy inequality, using fractional integral operators defined by R.K. Raina in [9]
Vivas Cortez, Miguel José
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Intuitionistic Fuzzy Riemann-Liouville and Hadamard Fractional ⊗Integrals

Earthline Journal of Mathematical Sciences
In this study, we introduce intuitionistic fuzzy Riemann-Liouville and Hadamard fractional ⊗integrals of intuitionistic fuzzy valued functions and obtain some of their basic properties. We also give some examples to illustrate the obtained results.
openaire   +1 more source

On the Riemann-Liouville Fractional q-Integral Operator Involving a Basic Analogue of Fox H-Function [PDF]

, 2005
2000 Mathematics Subject Classification: 33D60, 26A33, 33C60The present paper envisages the applications of Riemann-Liouville fractional q-integral operator to a basic analogue of Fox H-function.
Purohit, S., Yadav, R., Kalla, S.
core  

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

Asymptotic Expansions of Fractional Derivatives andTheir Applications

Mathematics, 2015
We compare the Riemann–Liouville fractional integral (fI) of a function f(z)with the Liouville fI of the same function and show that there are cases in which theasymptotic expansion of the former is obtained from those of the latter and the differenceof ...
Tohru Morita, Ken-ichi Sato
doaj   +1 more source

Reverse and Forward Fractional Integral Inequalities [PDF]

, 2013
Here we present reverse Lp fractional integral inequalities for left and right Riemann-Liouville, generalized Riemann-Liouville, Hadamard, Erdelyi-Kober and multivariate Riemann-Liouville fractional integrals.
Razvan A. Mezei, Anastassiou, George A., Mezei, Razvan A., George A. Anastassiou   +3 more
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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