Results 61 to 70 of about 1,147 (198)
Journal of Fractional Calculus and ApplicationsSummary: The main thrust of this research is to propose a reliable method for the solution of a class of fractional order integro-differential equations with difference kernel. The integro-differential equations considered are both linear and nonlinear type with the fractional order derivative interpreted in Caputo sense.
Yisa, Babatunde Morufu +2 more
openaire +2 more sources
Isotopy and equivalence of knots in 3‐manifolds
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract Two knots K$K$ and J$J$ in S3$S^3$ are isotopic if and only if they are related by an orientation‐preserving diffeomorphism of S3$S^3$. This claim follows from the fact that any orientation‐preserving self‐diffeomorphism of S3$S^3$ is isotopic to the identity. We show that this same idea applies to any prime oriented closed 3‐manifold.
Paolo Aceto +4 more
wiley +1 more source
, 2023 This article employs the q-homotopy analysis transformation method (q-HATM) to numerically solve, subject to an integral condition, a fractional IBVP. The resulting numerical scheme is applied to solve, in which the exact solution is obtained, several ...
Huda Alsaud, Said Mesloub
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Motivic mirror symmetry and χ$\chi$‐independence for Higgs bundles in arbitrary characteristic
Proceedings of the London Mathematical Society, Volume 132, Issue 6, June 2026.Abstract We prove that the (twisted orbifold) motives of the moduli spaces of SLn$\mathrm{SL}_n$ and PGLn$\mathrm{PGL}_n$‐Higgs bundles of coprime rank and degree on a smooth projective curve over an algebraically closed field in which the rank is invertible are isomorphic in Voevodsky's triangulated category of motives.
Victoria Hoskins, Simon Pepin Lehalleur
wiley +1 more source
Application of the Homotopy Analysis Method for Solving the Variable Coefficient KdV-Burgers Equation [PDF]
, 2014 The homotopy analysis method is applied to solve the variable coefficient KdV-Burgers equation. With the aid of generalized elliptic method and Fourier’s transform method, the approximate solutions of double periodic form are obtained.
Jie Liu, Dianchen Lu
core +1 more source
Entropy, 2017 In this paper, we propose a new numerical algorithm, namely q-homotopy analysis Sumudu transform method (q-HASTM), to obtain the approximate solution for the nonlinear fractional dynamical model of interpersonal and romantic relationships.
Jagdev Singh +3 more
doaj +1 more source
Infinity‐operadic foundations for embedding calculus
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract Motivated by applications to spaces of embeddings and automorphisms of manifolds, we consider a tower of ∞$\infty$‐categories of truncated right modules over a unital ∞$\infty$‐operad O$\mathcal {O}$. We study monoidality and naturality properties of this tower, identify its layers, describe the difference between the towers as O$\mathcal {O}$
Manuel Krannich, Alexander Kupers
wiley +1 more source
, 2016 International Conference on Numerical Analysis and Applied Mathematics (ICNAAM) - SEP 23-29, 2015 - Rhodes, GREECEWOS: 000380803300489In this paper, the methods of homotopy perturbation sumudu transform is mentioned.
Zeynep Fidan Koçak +3 more
core +1 more source
SOLUTION OF FRACTIONAL BURGERS EQUATION BY TWO INTEGRAL TRANSFORM BASED SEMI ANALYTICAL METHODS
Academy Journal of Science and EngineeringThis study is concerned with the solution to a family of problems in mathematical physics referred to as Burgers equation. The fractional order Burgers equation considered is a nonlinear problem and can therefore not be solved by using any of the known ...
Babatunde Morufu Yisa, Noah A. Adelabu
doaj +1 more source
A powerful approach for fractional Drinfeld–Sokolov–Wilson equation with Mittag-Leffler law
Alexandria Engineering Journal, 2019 The pivotal aim of the present work is to find the solution for fractional Drinfeld–Sokolov–Wilson equation using q-homotopy analysis transform method (q-HATM).
Wei Gao +4 more
doaj +1 more source