On FBDF5 Method for Delay Differential Equations of Fractional Order with Periodic and Anti-Periodic Conditions
Sign Up to like & getrecommendations! Published in 2017 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-017-0932-8
Abstract: In this paper, we study the fractional backward differential formula (FBDF) for the numerical solution of fractional delay differential equations (FDDEs) of the following form: $$\lambda _n {}_0^C D_t^{\alpha _n } y(t - \tau )… read more here.
Keywords: anti periodic; periodic conditions; differential equations; periodic anti ... See more keywords
Existence and globally exponential stability of anti periodic solution for fuzzy BAM neural networks with time delays
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Applied Mathematics and Computing"
DOI: 10.1007/s12190-017-1130-3
Abstract: By employing fundamental solution matrix of coefficients and Lyapunov function, we obtain some sufficient conditions on the existence and global exponential stability of anti periodic oscillatory solution for fuzzy bi-directional memory neural networks with time… read more here.
Keywords: anti periodic; neural networks; stability anti; solution ... See more keywords
Multiple Anti-Periodic Solutions to a Discrete Fourth Order Nonlinear Equation
Sign Up to like & getrecommendations! Published in 2019 at "Differential Equations and Dynamical Systems"
DOI: 10.1007/s12591-016-0293-y
Abstract: This paper is concerned with the existence of multiple anti-periodic solutions to a nonlinear fourth order difference equation. The analysis is based on variational methods and critical point theory. Clark’s critical point theorem is used… read more here.
Keywords: multiple anti; fourth order; periodic solutions; equation ... See more keywords
Lyapunov-type inequalities for an anti-periodic fractional boundary value problem involving ψ-Caputo fractional derivative
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-018-1850-4
Abstract: AbstractA Lyapunov-type inequality is established for the anti-periodic fractional boundary value problem (CDaα,ψu)(x)+f(x,u(x))=0,a read more here.
Keywords: lyapunov type; anti periodic; periodic fractional; boundary value ... See more keywords
Variational approach to anti-periodic boundary value problems involving the discrete p-Laplacian
Sign Up to like & getrecommendations! Published in 2018 at "Boundary Value Problems"
DOI: 10.1186/s13661-018-1006-y
Abstract: Using critical point theory, we obtain the existence and multiplicity of nonzero solutions to anti-periodic boundary value problems with p-Laplacian in the case where the nonlinearities are p-sublinear at zero. Some examples are given to… read more here.
Keywords: anti periodic; boundary value; periodic boundary; variational approach ... See more keywords
Anti-periodic boundary value problems with Riesz–Caputo derivative
Sign Up to like & getrecommendations! Published in 2019 at "Advances in Difference Equations"
DOI: 10.1186/s13662-019-2001-z
Abstract: This paper is concerned with a class of anti-periodic boundary value problems for fractional differential equations with the Riesz–Caputo derivative, which can reflected both the past and the future nonlocal memory effects. By means of… read more here.
Keywords: riesz caputo; periodic boundary; boundary value; caputo derivative ... See more keywords
Fractional-Order Integro-Differential Multivalued Problems with Fixed and Nonlocal Anti-Periodic Boundary Conditions
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DOI: 10.3390/math8101774
Abstract: This paper studies a new class of fractional differential inclusions involving two Caputo fractional derivatives of different orders and a Riemann–Liouville type integral nonlinearity, supplemented with a combination of fixed and nonlocal (dual) anti-periodic boundary… read more here.
Keywords: periodic boundary; fractional order; boundary conditions; anti periodic ... See more keywords
The Unique Solution for Sequential Fractional Differential Equations with Integral Multi-Point and Anti-Periodic Type Boundary Conditions
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DOI: 10.3390/sym14040761
Abstract: : In this paper, we obtain the existence of the unique solution of anti-periodic type (anti-symmetry) integral multi-point boundary conditions for sequential fractional differential equations. We apply the Banach contraction mapping principle to get the… read more here.
Keywords: multi point; sequential fractional; fractional differential; differential equations ... See more keywords
Existence and Uniqueness Results for Different Orders Coupled System of Fractional Integro-Differential Equations with Anti-Periodic Nonlocal Integral Boundary Conditions
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DOI: 10.3390/sym15010182
Abstract: This paper presents a new class of boundary value problems of integrodifferential fractional equations of different order equipped with coupled anti-periodic and nonlocal integral boundary conditions. We prove the existence and uniqueness criteria of the… read more here.
Keywords: nonlocal integral; integral boundary; existence uniqueness; boundary conditions ... See more keywords