Alternative Legendre Polynomials Method for Nonlinear Fractional Integro-Differential Equations with Weakly Singular Kernel [PDF]
Journal of Mathematics, 2021 In this paper, we present a numerical scheme for finding numerical solution of a class of weakly singular nonlinear fractional integro-differential equations. This method exploits the alternative Legendre polynomials.
Guodong Shi, Yanlei Gong, Mingxu Yi
doaj +2 more sources
An Alternative Approach for Nonlinear Optimization Problem with Caputo - Fabrizio Derivative [PDF]
ITM Web of Conferences, 2018 In this study, a fractional mathematical model with steepest descent direction is proposed to find optimal solutions for a class of nonlinear programming problem. In this sense, Caputo-Fabrizio derivative is adapted to the mathematical model.
Evirgen Fırat, Yavuz Mehmet
doaj +2 more sources
Alternative Strategies in Learning Nonlinear Soft Margin Support Vector Machines [PDF]
Informatică economică, 2014 The aims of the paper are multifold, to propose a new method to determine a suitable value of the bias corresponding to the soft margin SVM classifier and to experimentally evaluate the quality of the found value against one of the standard expression of
Catalina COCIANU +2 more
doaj +2 more sources
Which Alternative for Solving Dual Fuzzy Nonlinear Equations Is More Precise? [PDF]
Mathematics, 2020 To answer the question stated in the title, we present and compare two approaches: first, a standard approach for solving dual fuzzy nonlinear systems (DFN-systems) based on Newton’s method, which uses 2D FN representation and second, the new approach ...
Joanna Kołodziejczyk +2 more
doaj +2 more sources
Alternative approach to electromagnetic field quantization in nonlinear and inhomogeneous media [PDF]
, 1997 A simple approach is proposed for the quantization of the electromagnetic field in nonlinear and inhomogeneous media. Given the dielectric function and nonlinear susceptibilities, the Hamiltonian of the electromagnetic field is determined completely by ...
L.-M. Duan, Guang‐Can Guo
openalex +3 more sources
Fredholm alternatives for nonlinear differential equations [PDF]
Rocky Mountain Journal of Mathematics, 1982 Klaus Schmitt, Hal L. Smith
openalex +4 more sources
Annals of the West University of Timisoara: Mathematics and Computer Science, 2023 The aim of this paper is to study the existence of the unique mild solution for non-linear fractional integro-differential equations with state-dependent nonlocal condition.
Bouteffal Zohra +3 more
doaj +1 more source
Multimodal nonlinear microscopy: A powerful label-free method for supporting standard diagnostics on biological tissues [PDF]
Journal of Innovative Optical Health Sciences, 2014 The large use of nonlinear laser scanning microscopy in the past decade paved the way for potential clinical application of this imaging technique.
Riccardo Cicchi +1 more
doaj +1 more source
Nonlinear *-Jordan-type derivations on alternative *-algebras
Sibirskie Elektronnye Matematicheskie Izvestiya, 2022 Let $A$ be an unital alternative $*$-algebra. Assume that $A$ contains a nontrivial symmetric idempotent element $e$ which satisfies $xA \cdot e = 0$ implies $x = 0$ and $xA \cdot (1_A - e) = 0$ implies $x = 0$. In this paper, it is shown that $Φ$ is a nonlinear $*$-Jordan-type derivation on A if and only if $Φ$ is an additive $*$-derivation.
Andrade, Aline Jaqueline de Oliveira +3 more
openaire +2 more sources
Nonlinear Dynamics and Alternative Stable States in Shallow Coastal Systems [PDF]
Oceanography, 2013 The dynamics of shallow-water coastal environments are controlled by external drivers—sea level rise, storms, and sediment and nutrient supplies—and by internal feedbacks. Interactions of biotic processes (vegetation growth, trophic dynamics) and abiotic
Karen J. McGlathery +5 more
doaj +1 more source