Results 51 to 60 of about 599,088 (208)

FRACTIONAL PROBLEMS WITH RIGHT-HANDED RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVES

TASK Quarterly, 2016
In this paper, we investigate the existence of solutions for advanced fractional differential equations containing the right-handed Riemann-Liouville fractional derivative both with nonlinear boundary conditions and also with initial conditions given at the end point T of interval [0,T].
openaire   +2 more sources

Extension of the fractional derivative operator of the Riemann-Liouville

The Journal of Nonlinear Sciences and Applications, 2017
Summary: By using the generalized beta function, we extend the fractional derivative operator of the Riemann-Liouville and discusses its properties. Moreover, we establish some relations to extended special functions of two and three variables via generating functions.
Baleanu, Dumitru, Agarwal, Praveen, Parmar, Rakesh K., Alqurashi, Maysaa M., Salahshour, Soheil   +4 more
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Analysis of nonlinear fractional diffusion equations with a Riemann-liouville derivative

Evolution Equations & Control Theory, 2022
<p style='text-indent:20px;'>In this paper, we consider a nonlinear fractional diffusion equations with a Riemann-Liouville derivative. First, we establish the global existence and uniqueness of mild solutions under some assumptions on the input data.
Ngoc, Tran Bao, Tuan, Nguyen Huy, Sakthivel, R., O'Regan, Donal   +3 more
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A Simple and Effective Second-Order Numerical Algorithm for Tempered Fractional Differential Equation With Time Caputo-Tempered Fractional Derivative

Advances in Mathematical Physics
This paper presents an efficient numerical scheme for the space–time tempered fractional convection–diffusion equation, where the time derivative is the Caputo-tempered fractional derivative and the space derivatives are the normalized left and right ...
Dechao Gao, Zeshan Qiu, Lizan Wang, Jianxin Li   +3 more
doaj   +1 more source

A New Generalized Definition of Fractional Derivative with Non-Singular Kernel

Computation, 2020
This paper proposes a new definition of fractional derivative with non-singular kernel in the sense of Caputo which generalizes various forms existing in the literature. Furthermore, the version in the sense of Riemann–Liouville is defined.
Khalid Hattaf
doaj   +1 more source

Sliding Mode Control in Aerospace Applications: A Survey

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Sliding mode control (SMC) enjoys robustness to matched and unmatched (in the case of minimum phase input‐output dynamics) bounded perturbations, and finite time convergence. Second‐order and higher‐order sliding mode control systems (2‐SMC/HOSMC) retain all the advantages of sliding mode control, but in addition can be applied to systems of ...
Yuri Shtessel, Christopher Edwards
wiley   +1 more source

On the Hermite–Hadamard type inequality for ψ-Riemann–Liouville fractional integrals via convex functions

Journal of Inequalities and Applications, 2019
In this paper, we establish a new Hermite–Hadamard inequality involving left-sided and right-sided ψ-Riemann–Liouville fractional integrals via convex functions.
Kui Liu, JinRong Wang, Donal O’Regan
doaj   +1 more source

On Impulsive Boundary Value Problem with Riemann-Liouville Fractional Order Derivative

Journal of Function Spaces, 2021
Our manuscript is devoted to investigating a class of impulsive boundary value problems under the concept of the Riemann-Liouville fractional order derivative. The subject problem is of implicit type. We develop some adequate conditions for the existence
Zareen A. Khan, Rozi Gul, Kamal Shah
doaj   +1 more source

Composition of Fractional Integral and Derivative Operators: Summarised in Tables

Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 14682-14696, 15 September 2026.
ABSTRACT This paper compiles a complete, detailed list of composition properties for Riemann–Liouville fractional differintegrals, in all possible cases for orders anywhere in the complex plane, with the results presented clearly in a table for easy visual consumption.
Arran Fernandez
wiley   +1 more source

Fractional Cauchy Problem with Riemann-Liouville Derivative on Time Scales [PDF]

Abstract and Applied Analysis, 2013
Summary: \(\nabla\)-Laplace transform, fractional \(\nabla\)-power function, \(\nabla\)-Mittag-Leffler function, fractional \(\nabla\)-integrals, and fractional \(\nabla\)-differential on time scales are defined. Some of their properties are discussed in detail.
Ling Wu, Jiang Zhu
openaire   +3 more sources