Results 1 to 10 of about 29,648 (194)
Thermal Science, 2018 In this paper, we apply a new technique, namely local fractional variational iteration transform method on homogeneous/non-homogeneous non-linear gas dynamic and coupled KdV equations to obtain the analytical approximate solutions. The iteration procedure is based on local fractional derivative and integral operators.
Dumitru Baleanu +2 more
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Solving Composite Fixed Point Problems with Block Updates
Advances in Nonlinear Analysis, 2021 Various strategies are available to construct iteratively a common fixed point of nonexpansive operators by activating only a block of operators at each iteration.
Combettes Patrick L., Glaudin Lilian E.
doaj +1 more source
Nonlinear Equations Involving Nonpositive Definite Linear Operators via Variational Methods
Journal of Integral Equations and Applications, 2007 The paper is concerned with the application of variational methods, namely the variational method due to \textit{B. Ricceri} [J. Comput. Appl. Math. 113, No. 1--2, 401--410 (2000; Zbl 0946.49001)] in showing the existence of solutions for nonlinear equations of the type \(u=K\mathbf{f}(u)\), where \(K:L^{q_{0}}( \Omega) \rightarrow L^{p_{0}}( \Omega) \)
ANELLO, Giovanni, CORDARO G.
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A Fractional Calculus of Variations for Multiple Integrals with Application to Vibrating String [PDF]
, 2010 We introduce a fractional theory of the calculus of variations for multiple integrals. Our approach uses the recent notions of Riemann-Liouville fractional derivatives and integrals in the sense of Jumarie. Main results provide fractional versions of the
Almeida, Ricardo +2 more
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Fractional Euler-Lagrange differential equations via Caputo derivatives [PDF]
, 2011 We review some recent results of the fractional variational calculus. Necessary optimality conditions of Euler-Lagrange type for functionals with a Lagrangian containing left and right Caputo derivatives are given.
AA Kilbas +29 more
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Perturbation results for some nonlinear equations involving fractional operators [PDF]
, 2012 By using a perturbation technique in critical point theory, we prove the existence of solutions for two types of nonlinear equations involving fractional differential operators.Comment: 14 ...
Secchi, Simone
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Numerical solution of fractional Sturm-Liouville equation in integral form [PDF]
, 2014 In this paper a fractional differential equation of the Euler-Lagrange / Sturm-Liouville type is considered. The fractional equation with derivatives of order $\alpha \in \left( 0,1 \right]$ in the finite time interval is transformed to the integral form.
Blaszczyk, Tomasz, Ciesielski, Mariusz
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Weak imposition of Signorini boundary conditions on the boundary element method [PDF]
, 2020 We derive and analyse a boundary element formulation for boundary conditions involving inequalities. In particular, we focus on Signorini contact conditions.
Burman, Erik +2 more
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Variational methods in relativistic quantum mechanics
, 2007 This review is devoted to the study of stationary solutions of linear and nonlinear equations from relativistic quantum mechanics, involving the Dirac operator. The solutions are found as critical points of an energy functional. Contrary to the Laplacian
Esteban, Maria J. +2 more
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Nonlinear equations involving the square root of the Laplacian
, 2018 In this paper we discuss the existence and non-existence of weak solutions to parametric fractional equations involving the square root of the Laplacian $A_{1/2}$ in a smooth bounded domain $\Omega\subset \mathbb{R}^n$ ($n\geq 2$) and with zero Dirichlet
Ambrosio, Vincenzo +2 more
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