Results 81 to 90 of about 20,476 (286)

Fractional differential repetitive processes with Riemann–Liouville and Caputo derivatives [PDF]

open access: yesMultidimensional Systems and Signal Processing, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Idczak, Dariusz, Kamocki, Rafał
openaire   +2 more sources

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay   +2 more
wiley   +1 more source

On the Approximate Controllability of Fractional Evolution Equations with Generalized Riemann-Liouville Fractional Derivative

open access: yes, 2015
We discuss the approximate controllability of fractional evolution equations involving generalized Riemann-Liouville fractional derivative. The results are obtained with the help of the theory of fractional calculus, semigroup theory, and the Schauder ...
N. Mahmudov, M. McKibben
semanticscholar   +1 more source

Some Simpson’s Riemann–Liouville Fractional Integral Inequalities with Applications to Special Functions

open access: yesJournal of Function Spaces, 2022
Based on the Riemann–Liouville fractional integral, a new form of generalized Simpson-type inequalities in terms of the first derivative is discussed. Here, some more inequalities for convexity as well as concavity are established. We expect that present
Jamshed Nasir   +4 more
semanticscholar   +1 more source

Cauchy problems for fractional differential equations with Riemann–Liouville fractional derivatives

open access: yesJournal of Functional Analysis, 2012
In this paper, the authors study certain Cauchy-type problems of fractional differential equations with fractional differential conditions, involving Riemann-Liouville derivatives, in infinite-dimensional Banach spaces. They introduce a certain fractional resolvent and study some of its properties.
Li, Kexue, Peng, Jigen, Jia, Junxiong
openaire   +2 more sources

Exponential Stability of Higher Order Fractional Neutral Stochastic Differential Equation Via Integral Contractors

open access: yesMathematical 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

Fractional derivative generalization of Noether’s theorem

open access: yesOpen Mathematics, 2015
The symmetry of the Bagley–Torvik equation is investigated by using the Lie group analysis method. The Bagley–Torvik equation in the sense of the Riemann–Liouville derivatives is considered.
Khorshidi Maryam   +2 more
doaj   +1 more source

The existence and stability results of multi-order boundary value problems involving Riemann-Liouville fractional operators

open access: yesAIMS Mathematics, 2023
In this paper, a general framework for the fractional boundary value problems is presented. The problem is created by Riemann-Liouville type two-term fractional differential equations with a fractional bi-order setup. Moreover, the boundary conditions of
Hasanen A. Hammad   +2 more
doaj   +1 more source

Existence and uniqueness of a positive solution to generalized nonlocal thermistor problems with fractional-order derivatives

open access: yes, 2011
In this work we study a generalized nonlocal thermistor problem with fractional-order Riemann-Liouville derivative. Making use of fixed-point theory, we obtain existence and uniqueness of a positive solution.Comment: Submitted 17-Jul-2011; revised 09-Oct-
Ammi, Moulay Rchid Sidi   +1 more
core   +1 more source

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