Results 71 to 80 of about 1,661 (192)

On Nonlinear Implicit Neutral Generalized Hilfer Fractional Differential Equations with Terminal Conditions and Delay

open access: yesTopological Algebra and its Applications, 2022
In this paper, we establish the existence of solutions for a class of nonlinear implicit neutral fractional differential equations with terminal condition and Hilfer-Katugampola fractional derivative.
Bouriah Soufyane   +2 more
doaj   +1 more source

Lyapunov inequality for fractional differential equations with Prabhakar derivative

open access: yes, 2016
In this paper, we consider a fractional boundary value problem including the Prabhakar fractional derivative. We obtain associated Green function for this fractional boundary value problem and get a Lyapunov-type inequality for it.
S. Eshaghi, A. Ansari
semanticscholar   +1 more source

A survey on fractional variational calculus

open access: yes, 2018
Main results and techniques of the fractional calculus of variations are surveyed. We consider variational problems containing Caputo derivatives and study them using both indirect and direct methods.
Almeida, Ricardo, Torres, Delfim F. M.
core   +1 more source

Numerical solution of fractional Mathieu equations by using block-pulse wavelets

open access: yesJournal of Ocean Engineering and Science, 2019
In this paper, we introduce a method based on operational matrix of fractional order integration for the numerical solution of fractional Mathieu equation and then apply it in a number of cases.
P. Pirmohabbati   +3 more
doaj  

Hilfer proportional nonlocal fractional integro-multipoint boundary value problems

open access: yesOpen Mathematics, 2023
In this article, we introduce and study a boundary value problem for (k,χ¯*)\left(k,{\bar{\chi }}_{* })-Hilfer generalized proportional fractional differential equation of order in an interval (1, 2], equipped with integro-multipoint nonlocal boundary ...
Samadi Ayub   +3 more
doaj   +1 more source

Existence results for fractional q-difference equations with nonlocal q-integral boundary conditions

open access: yesAdvances in Differential Equations, 2013
In this paper, we discuss the existence of positive solutions for nonlocal q-integral boundary value problems of fractional q-difference equations. By applying the generalized Banach contraction principle, the monotone iterative method, and Krasnoselskii’
Yulin Zhao, Haibo Chen, Qi-Ming Zhang
semanticscholar   +1 more source

On the Elzaki transform and its applications in fractional free electron laser equation

open access: yesActa Universitatis Sapientiae: Mathematica, 2019
This article is devoted to study Elzaki transform and its applications in Free Electron Laser equation involving Hilfer-Prabhakar fractional derivative.
Singh Yudhveer   +3 more
doaj   +1 more source

Optimal Control and Sensitivity Analysis of a Fractional Order TB Model

open access: yes, 2018
A Caputo fractional-order mathematical model for the transmission dynamics of tuberculosis (TB) was recently proposed in [Math. Model. Nat. Phenom. 13 (2018), no. 1, Art. 9].
Rosa, Silverio, Torres, Delfim F. M.
core   +1 more source

Oscillation criteria of fractional differential equations

open access: yes, 2012
In this article, we are concerned with the oscillation of the fractional differential equation r(t)D-αyη(t)′-q(t)f∫t∞(v-t)-αy(v)dv=0fort>0, where D-αy is the Liouville right-sided fractional derivative of order α ∈ (0,1) of y and η > 0 is a quotient of
Da-Xue Chen
semanticscholar   +1 more source

Non-existence of periodic solutions in fractional-order dynamical systems and a remarkable difference between integer and fractional-order derivatives of periodic functions

open access: yes, 2011
Using the Mellin transform approach, it is shown that, in contrast with integer-order derivatives, the fractional-order derivative of a periodic function cannot be a function with the same period.
Kaslik, Eva, Sivasundaram, Seenith
core   +1 more source

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