Results 1 to 10 of about 862 (204)

Local Fuzzy Fractional Partial Differential Equations in the Realm of Fractal Calculus with Local Fractional Derivatives [PDF]

Fractal and Fractional, 2023
In this study, local fuzzy fractional partial differential equations (LFFPDEs) are considered using a hybrid local fuzzy fractional approach. Fractal model behavior can be represented using fuzzy partial differential equations (PDEs) with local ...
Mawia Osman, Muhammad Marwan, Syed Omar Shah, Lamia Loudahi, Mahvish Samar, Ebrima Bittaye, Altyeb Mohammed Mustafa   +6 more
doaj   +2 more sources

Nonlocal Operator Method for Solving Partial Differential Equations: State-of-the-Art Review and Future Perspectives

Journal of Advanced Engineering and Computation, 2022
The nonlocal operator method (NOM) is based on nonlocal theory and employs nonlocal operators of integral form to replace the local partial differential operators.
Yongzheng Zhang, Huilong Ren, Timon Rabczuk   +2 more
doaj   +1 more source

New Perspective on the Conventional Solutions of the Nonlinear Time-Fractional Partial Differential Equations

Complexity, 2020
The role of integer and noninteger order partial differential equations (PDE) is essential in applied sciences and engineering. Exact solutions of these equations are sometimes difficult to find.
Hijaz Ahmad, Ali Akgül, Tufail A. Khan, Predrag S. Stanimirović, Yu-Ming Chu   +4 more
doaj   +1 more source

Variational methods for PDEs aplied to stochastic partial differential equations

MATHEMATICA SCANDINAVICA, 1998
We combine white noise analysis and variational methods for partial differential equations to study stochastic partial differential equations. The equations are studied in the Kondratiev spaces of stochastic distributions. A new estimate on the Wick product in these spaces is shown.
openaire   +3 more sources

Analytical simulation of the nonlinear Caputo fractional equations

Partial Differential Equations in Applied Mathematics
Partial differential equations (PDEs), particularly those involving fractional derivatives, have garnered considerable attention due to their ability to model complex systems with memory and hereditary properties.
Ali Ahadi, Seyed Mostafa Mousavi, Amir Mohammad Alinia, Hossein Khademi   +3 more
doaj   +1 more source

Reliability-Oriented Modeling of Bellows Compensators: A Comparative PDE-Based Study Using Finite Difference and Finite Element Methods

Mathematics
Bellows compensators are critical components in pipeline systems, designed to absorb thermal expansions, vibrations, and pressure reflections. Ensuring their operational reliability requires accurate prediction of the stress–strain state (SSS) and ...
Yerzhan Y. Sarybayev, Doszhan Y. Balgayev, Denis Y. Tkachenko, Nikita V. Martyushev, Boris V. Malozyomov, Baurzhan S. Beisenov, Svetlana N. Sorokova   +6 more
doaj   +1 more source

Deep image prior inpainting of ancient frescoes in the Mediterranean Alpine arc

Heritage Science
The unprecedented success of image reconstruction approaches based on deep neural networks has revolutionised both the processing and the analysis paradigms in several applied disciplines.
Fabio Merizzi, Perrine Saillard, Oceane Acquier, Elena Morotti, Elena Loli Piccolomini, Luca Calatroni, Rosa Maria Dessì   +6 more
doaj   +1 more source

Data-driven, ML-assisted approaches to problem well-posedness. [PDF]

PNAS Nexus
Bertalan T, Kevrekidis GA, Koronaki ED, Mishra S, Rebrova E, Kevrekidis IG.   +5 more
europepmc   +1 more source

The finite element neural network method to simulate two dimensional partial differential equations and perform parameter identification. [PDF]

Sci Rep
Abda M, Berthet L, Hamedi M, Hibatullah D, Piollet E, Blake C, Blais B, Gosselin FP.   +7 more
europepmc   +1 more source

Parabolic PDEs with Dynamic Data under a Bounded Slope Condition. [PDF]

Arch Ration Mech Anal
Bögelein V, Duzaar F, Treu G.
europepmc   +1 more source