Results 31 to 40 of about 8,512 (209)

Nonlinear Integro-Differential Equations Involving Mixed Right and Left Fractional Derivatives and Integrals with Nonlocal Boundary Data

Mathematics, 2020
In this paper, we study the existence of solutions for a new nonlocal boundary value problem of integro-differential equations involving mixed left and right Caputo and Riemann−Liouville fractional derivatives and Riemann−Liouville fractional
Bashir Ahmad, Abrar Broom, Ahmed Alsaedi, Sotiris K. Ntouyas   +3 more
doaj   +1 more source

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

Isoperimetric problems of the calculus of variations with fractional derivatives [PDF]

, 2011
In this paper we study isoperimetric problems of the calculus of variations with left and right Riemann-Liouville fractional derivatives. Both situations when the lower bound of the variational integrals coincide and do not coincide with the lower bound ...
Agrawal, Agrawal, Agrawal, Almeida, Almeida, Almeida, Almeida, Almeida, Atanacković, Baleanu, Baleanu, Baleanu, Baleanu, Baleanu, Baleanu, Bastos, Blåsjö, Curtis, Delfim F.M. Torres, El-Nabulsi, El-Nabulsi, Frederico, Frederico, Frederico, Herzallah, Jarad, Jumarie, Malinowska, Miller, Podlubny, Ricardo Almeida, Ross, Rui A.C. Ferreira, Samko, Tarasov, van Brunt   +35 more
core   +3 more sources

Integral Inequalities for s-Convexity via Generalized Fractional Integrals on Fractal Sets

Mathematics, 2020
In this study, we establish new integral inequalities of the Hermite−Hadamard type for s-convexity via the Katugampola fractional integral. This generalizes the Hadamard fractional integrals and Riemann−Liouville into a single form.
Ohud Almutairi, Adem Kılıçman
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

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

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 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, Muhammad Uzair Awan, Muhammad Zakria Javed, Muhammad Aslam Noor, Khalida Inayat Noor   +4 more
doaj   +1 more source

On fractional smoothness and $L_p$-approximation on the Gaussian space [PDF]

, 2014
We consider Gaussian Besov spaces obtained by real interpolation and Riemann-Liouville operators of fractional integration on the Gaussian space and relate the fractional smoothness of a functional to the regularity of its heat extension. The results are
Geiss, Stefan, Toivola, Anni
core   +1 more source

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

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

Review of Some Promising Fractional Physical Models [PDF]

, 2015
Fractional dynamics is a field of study in physics and mechanics investigating the behavior of objects and systems that are characterized by power-law non-locality, power-law long-term memory or fractal properties by using integrations and ...
Tarasov, Vasily E.
core   +1 more source