Results 1 to 10 of about 24,781 (94)

Existence of solutions for sequential fractional differential equations with four-point nonlocal fractional integral boundary conditions

Open Physics, 2013
Ahmad Bashir, Alsaedi Ahmed, Al-Hutami Hana   +2 more
doaj   +2 more sources

Boundary value problems for n-th order differential inclusions with four-point integral boundary conditions [PDF]

Opuscula Mathematica, 2012
In this paper, we discuss the existence of solutions for a four-point integral boundary value problem of \(n\)-th order differential inclusions involving convex and non-convex multivalued maps. The existence results are obtained by applying the nonlinear
Bashir Ahmad, Sotiris K. Ntouyas
doaj   +1 more source

Existence and Ulam–Hyers Stability Analysis for Coupled Differential Equations of Fractional-Order with Nonlocal Generalized Conditions via Generalized Liouville–Caputo Derivative

Fractal and Fractional, 2022
In this paper, we investigate the existence and Hyers–Ulam stability of a coupled differential equations of fractional-order with multi-point (discrete) and integral boundary conditions that are related to Katugampola integrals.
Muthaiah Subramanian, Shorog Aljoudi
doaj   +1 more source

On a nonlinear sequential four-point fractional q-difference equation involving q-integral operators in boundary conditions along with stability criteria

Advances in Difference Equations, 2021
In this paper, we consider a nonlinear sequential q-difference equation based on the Caputo fractional quantum derivatives with nonlocal boundary value conditions containing Riemann–Liouville fractional quantum integrals in four points. In this direction,
Abdelatif Boutiara, Sina Etemad, Jehad Alzabut, Azhar Hussain, Muthaiah Subramanian, Shahram Rezapour   +5 more
doaj   +1 more source

On a fractional hybrid multi-term integro-differential inclusion with four-point sum and integral boundary conditions

Advances in Difference Equations, 2020
We investigate the existence of solutions for a fractional hybrid multi-term integro-differential inclusion with four-point sum and integral boundary value conditions. By using Dhage’s fixed point results, we prove our main existence result.
Dumitru Baleanu, Sina Etemad, Shahram Rezapour   +2 more
doaj   +1 more source

A four-point nonlocal integral boundary value problem for fractional differential equations of arbitrary order

Electronic Journal of Qualitative Theory of Differential Equations, 2011
This paper studies a nonlinear fractional differential equation of an arbitrary order with four-point nonlocal integral boundary conditions. Some existence results are obtained by applying standard fixed point theorems and Leray-Schauder degree theory ...
Bashir Ahmad, Sotiris Ntouyas
doaj   +1 more source

On a Coupled System of Fractional Differential Equations with Four Point Integral Boundary Conditions

Mathematics, 2019
The study is on the existence of the solution for a coupled system of fractional differential equations with integral boundary conditions. The first result will address the existence and uniqueness of solutions for the proposed problem and it is based on
Nazim I Mahmudov, Sameer Bawaneh, Areen Al-Khateeb   +2 more
doaj   +1 more source

Fishnet four-point integrals: integrable representations and thermodynamic limits

Journal of High Energy Physics, 2021
We consider four-point integrals arising in the planar limit of the conformal “fishnet” theory in four dimensions. They define a two-parameter family of higher-loop Feynman integrals, which extend the series of ladder integrals and were argued, based on ...
Benjamin Basso, Lance J. Dixon, David A. Kosower, Alexandre Krajenbrink, De-liang Zhong   +4 more
doaj   +1 more source

Surprises in Lorentzian path-integral of Gauss-Bonnet gravity

Journal of High Energy Physics, 2022
In this paper we study the Lorentzian path-integral of Gauss-Bonnet gravity in the mini-superspace approximation in four spacetime dimensions and investigate the transition amplitude from one configuration to another. Past studies motivate us on imposing
Gaurav Narain
doaj   +1 more source

Existence results for Caputo type fractional differential equations with four-point nonlocal fractional integral boundary conditions

Electronic Journal of Qualitative Theory of Differential Equations, 2012
This paper presents some existence and uniqueness results for a boundary value problem of fractional differential equations of order $\alpha \in (1,2]$ with four-point nonlocal fractional integral boundary conditions.
Bashir Ahmad, Ahmed Alsaedi, Afrah Assolami   +2 more
doaj   +1 more source