Results 71 to 80 of about 20,552 (179)

Nonlinear Sequential Fractional Integro‐Differential Systems: Caputo‐Type Derivatives and Boundary Constraints

Mathematical Methods in the Applied Sciences, Volume 48, Issue 16, Page 15194-15218, 15 November 2025.
ABSTRACT In recent years, the study of sequential fractional differential equations (SFDEs) has become increasingly important in multiple domains of science and engineering. This work investigates a new class of boundary value problems (BVPs) characterized by nonlocal closed boundary conditions involving SFDEs with Caputo fractional integral operators.
Saud Fahad Aldosary, Manigandan Murugesan, Hami Gündoğdu   +2 more
wiley   +1 more source

A Flexible Derivation Approach for the Numerical Solution of Partial Differential Equations

Numerical Methods for Partial Differential Equations, Volume 41, Issue 6, November 2025.
ABSTRACT We propose a new method for the numerical solution of boundary value problems associated to partial differential equations. This method is based on standard approximation techniques, like numerical differentiation of univariate functions and curve interpolation, so it can be easily generalized to high‐dimensional problems.
Nadaniela Egidi, Josephin Giacomini, Pierluigi Maponi   +2 more
wiley   +1 more source

Fredholm Property of Matrix Wiener-Hopf plus and minus Hankel Operators with Semi-Almost Periodic Symbols

Cubo, 2010
We will present sufficient conditions for the Fredholm property of Wiener-Hopf plus and minus Hankel operators with different Fourier matrix symbols in the C*-algebra of semialmost periodic elements.
L. P Castro, A. S. Silva
doaj  

Fredholm Operators and Spectral Flow [PDF]

, 2016
These are extended lecture notes of a PhD course that the author gave at the Universita degli studi di Torino in Italy in spring 2013.
openaire   +3 more sources

Optimal Control Strategies and Continuous Dependence for Stochastic Hilfer Fractional Systems With Delay: A Volterra‐Fredholm Integro‐Differential Approach

Optimal Control Applications and Methods, Volume 46, Issue 6, Page 2708-2726, November/December 2025.
The graphical abstract highlights our research on Sobolev Hilfer fractional Volterra‐Fredholm integro‐differential (SHFVFI) control problems for 1<ϱ<2$$ 1<\varrho <2 $$. We begin with the Hilfer fractional derivative (HFD) of order (1,2) in Sobolev type, which leads to Volterra‐Fredholm integro‐differential equations.
Marimuthu Mohan Raja, V. Vijayakumar, Chun‐Wei Tsai, Kalyana Chakravarthy Veluvolu   +3 more
wiley   +1 more source

Bifurcation theory for Fredholm operators

Journal of Differential Equations
This paper consists of four parts. It begins by using the authors's generalized Schauder formula, [50], and the algebraic multiplicity, $χ$, of Esquinas and López-Gómez [18,17,40] to package and sharpening all existing results in local and global bifurcation theory for Fredholm operators through the recent author's axiomatization of the Fitzpatrick ...
Julián López-Gómez, Juan Carlos Sampedro   +1 more
openaire   +3 more sources

Truncated Weighted Singular Value Decomposition Solution of Tikhonov Regularized Softening Shear Band Problems in Finite Elements

International Journal for Numerical Methods in Engineering, Volume 126, Issue 19, 15 October 2025.
ABSTRACT A Truncated Weighted Singular Value Decomposition (TWSVD) based approach is proposed for the Tikhonov regularized solution of the ill‐posed softening type nonlocal plasticity model. Tikhonov regularization provides a stable, smooth, and mesh‐independent solution of integral‐type nonlocal plasticity, but is computationally expensive for large ...
Albert Dahal, Luis Ibarra
wiley   +1 more source

Some New Properties in Fredholm Theory, Schechter Essential Spectrum, and Application to Transport Theory

Journal of Inequalities and Applications, 2008
The theory of measures of noncompactness has many applications on topology, functional analysis, and operator theory. In this paper, we consider one axiomatic approach to this notion which includes the most important classical definitions.
Dehici Abdelkader, Abdelmoumen Boulbeba, Jeribi Aref, Mnif Maher   +3 more
doaj  

Interpolation of Fredholm operators

Advances in Mathematics, 2016
We prove novel results on interpolation of Fredholm operators including an abstract factorization theorem. The main result of this paper provides sufficient conditions on the parameters $ \in (0,1)$ and $q\in \lbrack 1,\infty ]$ under which an operator $A$ is a Fredholm operator from the real interpolation space $(X_{0},X_{1})_{ ,q}$ to $(Y_{0},Y_{1})
Asekritova, I., Kruglyak, N., Mastyło, M.   +2 more
openaire   +3 more sources

Spectral Invariants of Operators of Dirac Type on Partitioned Manifolds

, 2003
We review the concepts of the index of a Fredholm operator, the spectral flow of a curve of self-adjoint Fredholm operators, the Maslov index of a curve of Lagrangian subspaces in symplectic Hilbert space, and the eta invariant of operators of Dirac type
Bleecker, David, Booss-Bavnbek, Bernhelm
core