Nontrivial solutions of boundary value problems for second order functional differential equations [PDF]
In this paper we present a theory for the existence of multiple nontrivial solutions for a class of perturbed Hammerstein integral equations. Our methodology, rather than to work directly in cones, is to utilize the theory of fixed point index on affine ...
Calamai, Alessandro, Infante, Gennaro
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<abstract><p>This article presents the existence outcomes concerning a family of singular nonlinear differential equations containing Caputo's fractional derivatives with nonlocal double integral boundary conditions. According to the nature of Caputo's fractional calculus, the problem is converted into an equivalent integral equation, while
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The boundary value problem for mixed type equation with nonlocal initial conditions in integral form is considered. The main result states that the nonlocal problem is equivalent to the classical boundary value problem for a loaded equation.
Svetlana V Kirichenko
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Boundary value problems for Caputo fractional differential equations with nonlocal and fractional integral boundary conditions [PDF]
AbstractIn this paper, we study the existence and uniqueness of solutions for fractional differential equations with nonlocal and fractional integral boundary conditions. New existence and uniqueness results are established using the Banach contraction principle. Other existence results are obtained using O’Regan fixed point theorem and Burton and Kirk
Choukri Derbazi, Hadda Hammouche
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Existence results for fractional q-difference equations with nonlocal q-integral boundary conditions [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhao, Yulin, Chen, Haibo, Zhang, Qiming
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Boundary value problems for nonlinear fractional differential equations and inclusions with nonlocal and fractional integral boundary conditions [PDF]
This paper studies the boundary value problem of nonlinear fractional differential equations and inclusions of order \(q \in (1,2]\) with nonlocal and integral boundary conditions.
Sotiris K. Ntouyas
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The problem of calculation of correlation functions in the six-vertex model with domain wall boundary conditions is addressed by considering a particular nonlocal correlation function, called row configuration probability.
A. G. Izergin +24 more
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Electron Viscosity, Current Vortices and Negative Nonlocal Resistance in Graphene [PDF]
Quantum-critical states of diverse strongly correlated systems are predicted to feature universal collision-dominated transport resembling that of viscous fluids.
Falkovich, Gregory, Levitov, Leonid
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Well-posedness of elliptic-parabolic differential problem with integral condition
In this paper, we study a class of nonlocal boundary value problems for elliptic-parabolic equations subject to integral-type conditions. Such problems naturally emerge in various physical and engineering contexts, including diffusion processes in ...
O. Gercek
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Infinite point and Riemann–Stieltjes integral conditions for an integro-differential equation
In this paper, we study the existence of solutions for two nonlocal problems of integro-differential equation with nonlocal infinite-point and Riemann–Stieltjes integral boundary conditions. The continuous dependence of the solution will be studied.
Ahmed El-Sayed, Reda Gamal
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