Results 41 to 50 of about 357,245 (207)

Existence of Positive Solutions for a System of Singular Fractional Boundary Value Problems with p-Laplacian Operators

open access: yesMathematics, 2020
We investigate the existence and multiplicity of positive solutions for a system of Riemann–Liouville fractional differential equations with singular nonnegative nonlinearities and p-Laplacian operators, subject to nonlocal boundary conditions which ...
Ahmed Alsaedi, Rodica Luca, Bashir Ahmad
doaj   +1 more source

On Hermite-Hadamard type inequalities for Riemann-Liouville fractional integrals [PDF]

open access: yes, 2016
YILDIRIM, Huseyin/0000-0001-8855-9260WOS: 000396217100029In this paper, we have established Hermite-Hadamard-type inequalities for fractional integrals and will be given an identity.
H�seyin Yildirim   +5 more
core   +1 more source

Integral-Type Fractional Equations with a Proportional Riemann–Liouville Derivative [PDF]

open access: yesJournal of Mathematics, 2021
In this paper, we present the necessary conditions where integral-type fractional equations with a proportional Riemann–Liouville derivative have a unique solution. Also, we give an example to illustrate our work.
openaire   +2 more sources

Some results on integral inequalities via Riemann–Liouville fractional integrals [PDF]

open access: yesJournal of Inequalities and Applications, 2019
In current continuation, we have incorporated the notion of $s- ( {\alpha,m} ) $ -convex functions and have established new integral inequalities. In order to generalize Hermite–Hadamard-type inequalities, some new integral inequalities of Hermite–Hadamard and Simpson type using $s- ( {\alpha,m} ) $ -convex function via Riemann–Liouville fractional ...
LI Xiao-ling   +6 more
openaire   +4 more sources

General (k, p)-Riemann-Liouville fractional integrals [PDF]

open access: yes
The main motivation of this study is to establish a general version of the Riemann-Liouville fractional integrals with two exponential parameters k and p which is determined over the (k, p)-gamma function.
Budak, Hüseyin, Benaissa, Bouharket
core   +1 more source

Some Midpoint Type Inequalities for Riemann Liouville Fractional Integrals [PDF]

open access: yes, 2019
In the literature, there are a lot of studies about midpoint type inequalities for Riemann Liouville Fractional Integrals. But for most of them, the right and left fractional integrals are used together. In this paper, we give three new Riemann-Liouville
Şanli, Zeynep
core   +1 more source

Some New Ostrowski-Type Inequalities Involving σ-Fractional Integrals

open access: yesJournal of Mathematics, 2021
The aim of this paper is to derive some new fractional analogues of Ostrowski-type inequalities involving bounded functions using the concept of σ-Riemann–Liouville fractional integrals.
Bandar B. Mohsen   +4 more
doaj   +1 more source

Fractional Differential Equations with the General Fractional Derivatives of Arbitrary Order in the Riemann–Liouville Sense

open access: yesMathematics, 2022
In this paper, we first consider the general fractional derivatives of arbitrary order defined in the Riemann–Liouville sense. In particular, we deduce an explicit form of their null space and prove the second fundamental theorem of fractional calculus ...
Yuri Luchko
doaj   +1 more source

Research on Two Types of Fractional Integrals

open access: yes, 2022
: In this paper, based on Jumarie type of Riemann-Liouville (R-L) fractional calculus, we solve two types of fractional integrals. Complex power of fractional analytic function, product rule for fractional derivatives and a new multiplication of ...
Chii-Huei Yu
core   +1 more source

Solution of Singular Integral Equations via Riemann–Liouville Fractional Integrals

open access: yesMathematical Problems in Engineering, 2020
In this attempt, we introduce a new technique to solve main generalized Abel’s integral equations and generalized weakly singular Volterra integral equations analytically. This technique is based on the Adomian decomposition method, Laplace transform method, andΨ-Riemann–Liouville fractional integrals.
Manar A. Alqudah   +2 more
openaire   +1 more source

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