Advances in Difference Equations, 2021 In this paper, we study boundary value problems for sequential fractional differential equations and inclusions involving Hilfer fractional derivatives, supplemented with Riemann–Stieltjes integral multi-strip boundary conditions.
Cholticha Nuchpong +3 more
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Alternative stable states, nonlinear behavior, and predictability of microbiome dynamics
Microbiome, 2023 Background Microbiome dynamics are both crucial indicators and potential drivers of human health, agricultural output, and industrial bio-applications. However, predicting microbiome dynamics is notoriously difficult because communities often show abrupt
Hiroaki Fujita +11 more
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Nonlinear alternating current responses of graded materials [PDF]
Physical Review E, 2004 When a composite of nonlinear particles suspended in a host medium is subjected to a sinusoidal electric field, the electrical response in the composite will generally consist of alternating current (AC) fields at frequencies of higher-order harmonics.
Huang, J., Gao, L., Yu, K., Gu, G.
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Controllability of mild solutions for fractional neutral evolution equations with state-dependent delay [PDF]
Archives of Control SciencesThis paper examines the controllability of mild solutions for a specific class of neutral fractional evolution equations with finite state-dependent delays in Fréchet space, employing Caputo fractional derivatives.
Selma Baghli-Bendimerad +1 more
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Monotonicity and alternative methods for nonlinear boundary value problems [PDF]
Pacific Journal of Mathematics, 1977 Richard J. Nagle
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Mild solutions for perturbed evolution equations with infinite state-dependent delay
Electronic Journal of Qualitative Theory of Differential Equations, 2013 In this paper, we give sufficient conditions to get the existence of mild solutions for two classes of first order partial and neutral of perturbed evolution equations by using the nonlinear alternative of Avramescu for contractions operators in Fréchet ...
Djillali Aoued, Selma BAGHLI-BENDIMERAD
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A Nonlinear Alternating Direction Method [PDF]
Mathematics of Computation, 1969 An alternating direction iteration method is formulated, and convergence is proved, for the solution of certain systems of nonlinear equations. The method is applied to a heat conduction problem with a nonlinear boundary condition.
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Nonlinear alternating current responses of dipolar fluids [PDF]
Physical Review E, 2004 The frequency-dependent nonlinear dielectric increment of dipolar fluids in nonpolar fluids is often measured by using a stationary relaxation method in which two electric fields are used: The static direct current (DC) field of high strength causing the dielectric nonlinearity, and the probing alternating current (AC) field of low strength and high ...
Huang, J., Yu, K., Karttunen, M.
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Linear parameter estimation for multi-degree-of-freedom nonlinear systems using nonlinear output frequency-response functions [PDF]
, 2006 The Volterra series approach has been widely used for the analysis of nonlinear systems. Based on the Volterra series, a novel concept named Nonlinear Output Frequency Response Functions (NOFRFs) was proposed by the authors.
Billings, S.A., Lang, Z.Q., Peng, Z.K.
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Anti-periodic boundary value problems for Caputo-Fabrizio fractional impulsive differential equations [PDF]
Mathematica Moravica, 2022 In this paper, we shall discuss the existence and uniqueness of solutions for a nonlinear anti-periodic boundary value problem for fractional impulsive differential equations involving a Caputo-Fabrizio fractional derivative of order r ∈ (0, 1).
Benyoub Mohammed, Belghaba Kacem
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