Results 131 to 140 of about 21,294 (235)

On the Qualitative Analysis of Solutions of Two Fractional Order Fractional Differential Equations

Mathematics
In applied sciences, besides the importance of obtaining the analytical solutions of differential equations with constant coefficients, the qualitative analysis of the solutions of such equations is also very important.
Yasar Bolat, Murat Gevgeşoğlu, George E. Chatzarakis   +2 more
doaj   +1 more source

Unique Existence Result of Approximate Solution to Initial Value Problem for Fractional Differential Equation of Variable Order Involving the Derivative Arguments on the Half-Axis

Mathematics, 2019
The semigroup properties of the Riemann–Liouville fractional integral have played a key role in dealing with the existence of solutions to differential equations of fractional order.
Shuqin Zhang, Lei Hu
doaj   +1 more source

Numerical Algorithms for the Fractional Diffusion-Wave Equation with Reaction Term

Abstract and Applied Analysis, 2013
Two numerical algorithms are derived to compute the fractional diffusion-wave equation with a reaction term. Firstly, using the relations between Caputo and Riemann-Liouville derivatives, we get two equivalent forms of the original equation, where we ...
Hengfei Ding, Changpin Li
doaj   +1 more source

A Modified Groundwater Flow Model Using the Space Time Riemann-Liouville Fractional Derivatives Approximation

Abstract and Applied Analysis, 2014
The notion of uncertainty in groundwater hydrology is of great importance as it is known to result in misleading output when neglected or not properly accounted for. In this paper we examine this effect in groundwater flow models.
Abdon Atangana, S. C. Oukouomi Noutchie
doaj   +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

A q-fractional approach to the regular Sturm-Liouville problems

Electronic Journal of Differential Equations, 2017
In this article, we study the regular $q$-fractional Sturm-Liouville problems that include the right-sided Caputo q-fractional derivative and the left-sided Riemann-Liouville q-fractional derivative of the same order, $\alpha \in (0,1)$.
Maryam A. AL-Towailb
doaj  

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  

Analysis and numerical solution of a Riemann-Liouville fractional derivative two-point boundary value problem

Advances in Computational Mathematics, 2017
N. Kopteva, M. Stynes
semanticscholar   +1 more source

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