Results 71 to 80 of about 1,294 (167)

Hilfer proportional nonlocal fractional integro-multipoint boundary value problems

Open 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, Ntouyas Sotiris K., Cuntavepanit Asawathep, Tariboon Jessada   +3 more
doaj   +1 more source

All functions are (locally) $s$-harmonic (up to a small error) - and applications

, 2017
The classical and the fractional Laplacians exhibit a number of similarities, but also some rather striking, and sometimes surprising, structural differences. A quite important example of these differences is that any function (regardless of its shape)
Annalisa Massaccesi, C Bucur, Claudia Bucur, Eugenio Montefusco, Giulia Carboni, GM Viswanathan, Hiroshi Matano, Jürgen Sprekels, Louis Dupaigne, Luis Caffarelli, Mouhamed Moustapha Fall, N. S. Landkof, Pablo Raúl Stinga, Raffaella Servadei, Richard G Casten, Russell Schwab, S Dipierro, Serena Dipierro, Serena Dipierro, Xavier Ros-Oton   +19 more
core   +1 more source

Monotonicity and oscillation for fractional differential equations with Riemann-Liouville derivatives

Demonstratio Mathematica
Monotonicity, oscillation, and asymptotic behavior of solutions of nonlinear fractional differential equations are investigated. Fractional differential equations are classified according to their oscillation properties, and a comparison between the ...
Bartušek Miroslav, Došlá Zuzana
doaj   +1 more source

Multi-term fractional differential equations with nonlocal boundary conditions

Open Mathematics, 2018
We introduce and study a new kind of nonlocal boundary value problems of multi-term fractional differential equations. The existence and uniqueness results for the given problem are obtained by applying standard fixed point theorems.
Ahmad Bashir, Alghamdi Najla, Alsaedi Ahmed, Ntouyas Sotiris K.   +3 more
doaj   +1 more source

Oscillation criteria of fractional differential equations

, 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

On a nonlinear system of Riemann-Liouville fractional differential equations with semi-coupled integro-multipoint boundary conditions

Open Mathematics, 2021
We study a nonlinear system of Riemann-Liouville fractional differential equations equipped with nonseparated semi-coupled integro-multipoint boundary conditions. We make use of the tools of the fixed-point theory to obtain the desired results, which are
Alsaedi Ahmed, Ahmad Bashir, Alghamdi Badrah, Ntouyas Sotiris K.   +3 more
doaj   +1 more source

General Fractional Calculus, Evolution Equations, and Renewal Processes

, 2011
We develop a kind of fractional calculus and theory of relaxation and diffusion equations associated with operators in the time variable, of the form $(Du)(t)=\frac{d}{dt}\int\limits_0^tk(t-\tau)u(\tau)\,d\tau -k(t)u(0)$ where $k$ is a nonnegative ...
Kochubei, Anatoly N.
core   +1 more source

CAPUTO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATION WITH NONLOCAL CONDITIONS IN BANACH SPACE

International Journal of Apllied Mathematics, 2019
The aim of the present paper is to prove the existence of solutions of the initial value problem for a nonlinear integro-differential equation of fractional order α ∈ (0, 1) with nonlocal conditions in Banach spaces.
Mohammed S Abdo, Abdulkafi. M. Saeed, S. K. Panchal   +2 more
semanticscholar   +1 more source

On multi-step methods for singular fractional q-integro-differential equations

Open Mathematics, 2021
The objective of this paper is to investigate, by applying the standard Caputo fractional q-derivative of order α\alpha , the existence of solutions for the singular fractional q-integro-differential equation Dqα[k](t)=Ω(t,k1,k2,k3,k4){{\mathcal{D}}}_{q}^
Hajiseyedazizi Sayyedeh Narges, Samei Mohammad Esmael, Alzabut Jehad, Chu Yu-ming   +3 more
doaj   +1 more source

An ordering on Green's function and a Lyapunov-type inequality for a family of nabla fractional boundary value problems

Fractional Differential Calculus, 2019
In this article, we consider a family of two-point Riemann–Liouville type nabla fractional boundary value problems involving a fractional difference boundary condition.
J. Jonnalagadda
semanticscholar   +1 more source