Results 131 to 140 of about 20,315 (242)

Nonlinear Caputo Fractional Derivative with Nonlocal Riemann-Liouville Fractional Integral Condition Via Fixed Point Theorems

Symmetry, 2019
In this paper, we study and investigate an interesting Caputo fractional derivative and Riemann–Liouville integral boundary value problem (BVP): c D 0 + q u ( t ) = f ( t , u ( t ) ) , t ∈ [ 0 , T ] , u ( k ) ( 0 ) = ξ k , u ( T ) = ∑ i = 1 m β i R L I 0
Piyachat Borisut, Poom Kumam, Idris Ahmed, K. Sitthithakerngkiet   +3 more
semanticscholar   +1 more source

Cauchy problem for the equations with fractional of Riemann-Liouville derivatives

Doklady of the National Academy of Sciences of Belarus, 2020
Summary: In this article, we study the question of the solvability of an analogue of the Cauchy problem for ordinary differential equations with fractional Riemann-Liouville derivatives on the unbounded right-hand side in certain function spaces. The solvability conditions of the problem under consideration in given function spaces, as well as the ...
Zabreĭko, Petr P., Ponomareva, Svetlana Vladimirovna   +1 more
openaire   +3 more sources

A Lucas Operational Matrix Method for Solving Nonlinear Fractional Two‐Dimensional Partial Volterra Integral Equations

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
This paper introduces a new numerical method for solving a class of two‐dimensional fractional partial Volterra integral equations (2DFPVIEs). Our approach uses Lucas polynomials (LPs) to construct operational matrices (OMs) that effectively transform the complex fractional‐order equations into a more manageable system of algebraic equations.
S. S. Gholami, A. Ebadian, A. A. Khajehnasiri, Kareem T. Elgindy, Birendra Nath Mandal   +4 more
wiley   +1 more source

An alternative definition for the k-Riemann-Liouville fractional derivative

, 2015
Fil: Dorrego, Gustavo. Consejo Nacional de Investigaciones Cientificas y Tecnicas.
G. A. Dorrego
semanticscholar   +1 more source

Some New Gronwall-Bellman-Type Inequalities Based on the Modified Riemann-Liouville Fractional Derivative

Journal of Applied Mathematics, 2013
By use of the properties of the modified Riemann-Liouville fractional derivative, some new Gronwall-Bellman-type inequalities are researched. First, we derive some new explicit bounds for the unknown functions lying in these inequalities, which are of ...
B. Zheng
semanticscholar   +1 more source

Generalized Riemann - Liouville fractional derivatives for multifractal sets

, 2000
The Riemann-Liouville fractional integrals and derivatives are generalized for cases when fractional exponent $d$ are functions of space and times coordinates (i.e. $d=d({\bf r}(t),t)$).
openaire   +2 more sources

THE NEW SOLUTION OF TIME FRACTIONAL WAVE EQUATION WITH CONFORMABLE FRACTIONAL DERIVATIVE DEFINITION

Journal of New Theory, 2015
– In this paper, we used new fractional derivative definition, the conformable fractional derivative, for solving two and three dimensional time fractional wave equation.
Yücel Çenesiz, Ali Kurt
doaj  

Three layers thermal protection system modeling by Riemann-Liouville fractional derivative. [PDF]

Sci Rep
Brociek R, Hetmaniok E, Słota D.
europepmc   +1 more source

On a Generic Fractional Derivative Associated with the Riemann–Liouville Fractional Integral

Axioms
In this paper, a generic fractional derivative is defined as a set of the linear operators left-inverse to the Riemann–Liouville fractional integral. Then, the theory of the left-invertible operators developed by Przeworska-Rolewicz is applied to deduce its properties.
openaire   +2 more sources

An Inverse Problem for a Fractional Space-Time Diffusion Equation with Fractional Boundary Condition. [PDF]

Entropy (Basel)
Brociek R, Wajda A, Napoli C, Capizzi G, Słota D.   +4 more
europepmc   +1 more source