Results 11 to 20 of about 86,356 (264)

Hyena neural operator for partial differential equations

open access: yesAPL Machine Learning, 2023
Numerically solving partial differential equations typically requires fine discretization to resolve necessary spatiotemporal scales, which can be computationally expensive. Recent advances in deep learning have provided a new approach to solving partial
Saurabh Patil   +2 more
doaj   +1 more source

A New General Integral Operator Defined by Al-Oboudi Differential Operator

open access: yesJournal of Inequalities and Applications, 2009
We define a new general integral operator using Al-Oboudi differential operator. Also we introduce new subclasses of analytic functions. Our results generalize the results of Breaz, Güney, and Sălăgean.
Bulut Serap
doaj   +2 more sources

Convoluted fractional differentials of various forms utilizing the generalized Raina's function description with applications

open access: yesJournal of Taibah University for Science, 2022
A generalized differential operator utilizing Raina's function is constructed in light of a certain type of fractional calculus. We next use the generalized operators to build a formula for analytic functions of type normalized.
Rabha W. Ibrahim, Dumitru Baleanu
doaj   +1 more source

Analysis of Volterra Integrodifferential Equations with the Fractal-Fractional Differential Operator

open access: yesComplexity, 2023
In this paper, a class of integrodifferential equations with the Caputo fractal-fractional derivative is considered. We study the exact and numerical solutions of the said problem with a fractal-fractional differential operator.
null Kamran   +5 more
doaj   +1 more source

Fuzzy differential subordination related to strongly Janowski functions

open access: yesApplied Mathematics in Science and Engineering, 2023
The research presented in this paper concerns the notion of geometric function theory called fuzzy differential subordination. Using the technique associated with fuzzy differential subordination, a new subclass of analytic functions related with the ...
Bushra Kanwal, Saqib Hussain, Afis Saliu
doaj   +1 more source

A New Class of Analytic Normalized Functions Structured by a Fractional Differential Operator

open access: yesJournal of Function Spaces, 2021
Newly, the field of fractional differential operators has engaged with many other fields in science, technology, and engineering studies. The class of fractional differential and integral operators is considered for a real variable. In this work, we have
Najla M. Alarifi, Rabha W. Ibrahim
doaj   +1 more source

Resolvent for Non-Self-Adjoint Differential Operator with Block-Triangular Operator Potential

open access: yesAbstract and Applied Analysis, 2016
A resolvent for a non-self-adjoint differential operator with a block-triangular operator potential, increasing at infinity, is constructed. Sufficient conditions under which the spectrum is real and discrete are obtained.
Aleksandr Mikhailovich Kholkin
doaj   +1 more source

On the “splitting” effect for multipoint differential operators with summable potential

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017
We study the differential operator of the fourth order with multipoint boundary conditions. The potential of the differential operator is summable function on a finite segment.
Sergey I Mitrokhin
doaj   +1 more source

Third-order differential subordination and superordination involving a fractional operator

open access: yesOpen Mathematics, 2015
The third-order differential subordination and the corresponding differential superordination problems for a new linear operator convoluted the fractional integral operator with the Carlson-Shaffer operator, are investigated in this study.
Ibrahim Rabha W.   +2 more
doaj   +1 more source

Generalized Briot-Bouquet Differential Equation Based on New Differential Operator with Complex Connections

open access: yesAxioms, 2020
A class of Briot–Bouquet differential equations is a magnificent part of investigating the geometric behaviors of analytic functions, using the subordination and superordination concepts. In this work, we aim to formulate a new differential operator with
Rabha W. Ibrahim   +2 more
doaj   +1 more source

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