Results 41 to 50 of about 1,814 (120)

Euler–Lagrange equations for variational problems involving the Riesz–Hilfer fractional derivative

Journal of Taibah University for Science, 2020
In this paper, we obtain the Euler-Lagrange equations for different kind of variational problems with the Lagrangian function containing the Riesz-Hilfer fractional derivative.
A. G. Ibrahim, A. A. Elmandouh
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On Generalized Composite Fractional Derivative

Walailak Journal of Science and Technology, 2014
In the present paper, we define a generalized composite fractional derivative and obtain results, which include the image of power function, Laplace transform and composition of Riemann-Liouville fractional integral with the generalized composite ...
Mridula GARG, Pratibha MANOHAR, Lata CHANCHALANI, Subhash ALHA   +3 more
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On the fractional derivatives at extrema points

Electronic Journal of Qualitative Theory of Differential Equations, 2012
We correct a recent result concerning the fractional derivative at extrema points. We then establish new results for the Caputo and Riemann-Liouville fractional derivatives at extrema points.
Mohammed Al-Refai
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On nonlocal problem with fractional Riemann-Liouville derivatives for a mixed-type equation

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017
The unique solvability is investigated for the problem of equation with partial fractional derivative of Riemann-Liouville and boundary condition that contains the generalized operator of fractional integro-differentiation. The uniqueness theorem for the
Anna V Tarasenko, Irina P Egorova
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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
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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
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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
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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
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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
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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
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