Results 31 to 40 of about 750 (182)
Mathematics, 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
Some results on integral inequalities via Riemann–Liouville fractional integrals [PDF]
Journal 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
Journal of Inequalities and Applications, 2019 In this paper, we establish a new Hermite–Hadamard inequality involving left-sided and right-sided ψ-Riemann–Liouville fractional integrals via convex functions.
Kui Liu, JinRong Wang, Donal O’Regan
doaj +1 more source
Some New Ostrowski-Type Inequalities Involving σ-Fractional Integrals
Journal 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
Mathematics, 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
Essay on Fractional Riemann-Liouville Integral Operator versus Mikusinski’s [PDF]
Mathematical Problems in Engineering, 2013 This paper presents the representation of the fractional Riemann-Liouville integral by using the Mikusinski operators. The Mikusinski operators discussed in the paper may yet provide a new view to describe and study the fractional Riemann-Liouville integral operator.
Li, Ming, Zhao, Wei
openaire +2 more sources
Sándor’s inequality for Riemann-Liouville fractional integrals
Miskolc Mathematical NotesThe Sándor inequality is a highly significant result in both pure and applied mathematics, providing an upper bound for the mean square of a positive convex function. This paper presents an extension of the Sándor inequality to the case of fractional integrals in the sense of Riemann-Liouville, as well as a generalization for any ...
Meftah, Badreddine +2 more
openaire +2 more sources
Solution of Singular Integral Equations via Riemann–Liouville Fractional Integrals
Mathematical 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
Integral-Type Fractional Equations with a Proportional Riemann–Liouville Derivative [PDF]
Journal 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
Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
wiley +1 more source