Results 61 to 70 of about 2,896 (148)

Fractional boundary value problems with multiple orders of fractional derivatives and integrals [PDF]

open access: yes, 2017
In this article we study a new class of boundary value problems for fractional differential equations and inclusions with multiple orders of fractional derivatives and integrals, in both fractional differential equation and boundary conditions.
Tariboon, Jessada, Ntouyas, Sotiris
core   +2 more sources

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

About Calculating Fractional Derivatives and Integral Using Maple

open access: yes, 2023
This article provides information about the concepts of fractional derivatives and fractional integrals,as well as some ...
Y, A. U. (Akbarov)
core  

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

open access: yes, 2011
In this article, 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 ...
Rui A. C. Ferreira   +5 more
core   +1 more source

Calculus of variations with fractional derivatives and fractional

open access: yes, 2020
: We prove Euler-Lagrange fractional equations and sufficient optimality conditions for problems of the calculus of variations with functionals containing both fractional derivatives and fractional integrals in the sense of Riemann-Liouville. Mathematics
Torres, F M Delfim, Ricardo Almeida
core   +1 more source

Fractional boundary value problems: Analysis and numerical methods [PDF]

open access: yes, 2011
This is the author's PDF of an article published in Fractional Calculus and Applied Analysis 2011. The original publication is available at www.springerlink.comThis journal article discusses nonlinear boundary value problems.Fundacao para a Ciencia e ...
M. Luísa Morgado   +3 more
core   +1 more source

Some Inequalities of Simpson Type for h-Convex Functions via Fractional Integrals [PDF]

open access: yes, 2015
We establish some inequalities of Simpson type involving Riemann-Liouville fractional integrals for mappings whose first derivatives are h ...
Marian Matłoka
core   +1 more source

Fractional Definite Integral

open access: yesFractal and Fractional, 2017
This paper proposes the definition of fractional definite integral and analyses the corresponding fundamental theorem of fractional calculus. In this context, we studied the relevant properties of the fractional derivatives that lead to such a definition.
Manuel Ortigueira, José Machado
doaj   +1 more source

On more general forms of proportional fractional operators

open access: yesOpen Mathematics, 2020
In this article, more general types of fractional proportional integrals and derivatives are proposed. Some properties of these operators are discussed.
Jarad Fahd   +2 more
doaj   +1 more source

The Stability of Non-standard Finite Difference Scheme for Solution of Partial Differential Equations of Fractional Order

open access: yesپژوهش‌های ریاضی, 2015
Fractional derivatives and integrals are new concepts of derivatives and integrals of arbitrary order. Partial differential equations whose derivatives can be of fractional order are called fractional partial differential equations (FPDEs).
M. Arab Ameri, E Mir Mehrabi
doaj  

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