Results 101 to 110 of about 19,827 (284)
AIMS 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
Lagrangians with linear velocities within Riemann-Liouville fractional derivatives [PDF]
Il Nuovo Cimento B, 2004 7 pages, LATEX,accepted for publication in Il Nuovo Cimento ...
T. Avkar, Dumitru Baleanu
openaire +3 more sources
Equivalences of Nonlinear Higher Order Fractional Differential Equations With Integral Equations
Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6930-6942, April 2025.ABSTRACT Equivalences of initial value problems (IVPs) of both nonlinear higher order (Riemann–Liouville type) fractional differential equations (FDEs) and Caputo FDEs with the corresponding integral equations are studied in this paper. It is proved that the nonlinearities in the FDEs can be L1$$ {L}^1 $$‐Carathéodory with suitable conditions.
Kunquan Lan
wiley +1 more source
Fractional derivative generalization of Noether’s theorem
Open 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
Study on the variable coefficient space–time fractional Korteweg de Vries equation
Ain Shams Engineering Journal, 2018 In this paper, the fractional Riccati method is modified for solving nonlinear variable coefficients fractional differential equations involving modified Riemann–Liouville derivative.
Emad A-B. Abdel-Salam, Gamal F. Hassan
doaj +1 more source
Fractional Cauchy Problem with Riemann-Liouville Fractional Delta Derivative on Time Scales [PDF]
Abstract and Applied Analysis, 2013 The Δ-power function and fractional Δ-integrals and fractional Δ-differential are defined, and then the definitions and properties of Δ-Mittag-Leffler function are given. The properties of fractional Δ-integrals and fractional Δ-differential on time scales are discussed in detail.
Jiang Zhu, Ying Zhu
openaire +4 more sources
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In recent years, the study of sequential fractional differential equations (SFDEs) has become increasingly important in multiple domains of science and engineering. This work investigates a new class of boundary value problems (BVPs) characterized by nonlocal closed boundary conditions involving SFDEs with Caputo fractional integral operators.
Saud Fahad Aldosary +2 more
wiley +1 more source
Results in Physics, 2019 In this paper, we obtain several novelty solutions by applying the improved F-expansion method to solve the space–time fractional Zakhorov Kuznetsov Benjamin Bona Mahony (ZKBBM) equation and the space–time fractional symmetric regularized long wave (SRLW)
David Yaro +4 more
doaj +1 more source
Optimal Control Applications and Methods, EarlyView.Hybrid Algorithm‐Based Optimal FOPI Controller in Three‐phase UPQC system ABSTRACT Time delay (TD) is a common phenomenon in practical systems. Most studies have focused on the classical notion of integer‐order TD. However, it should not be neglected that the delay can also be noninteger.
Erdinç Şahin
wiley +1 more source
Oscillation of solutions to nonlinear forced fractional differential equations
Electronic Journal of Differential Equations, 2013 In this article, we study the oscillation of solutions to a nonlinear forced fractional differential equation. The fractional derivative is defined in the sense of the modified Riemann-Liouville derivative.
Qinghua Feng, Fanwei Meng
doaj