Results 21 to 30 of about 1,534 (121)

On a Class of Caputo Time Fractional Problems with Boundary Integral Conditions

open access: yesMoroccan Journal of Pure and Applied Analysis, 2021
The aim of this paper is to work out the solvability of a class of Caputo time fractional problems with boundary integral conditions. A generalized formula of integration is demonstrated and applied to establish the a priori estimate of the solution ...
Aggoun Karim, Merad Ahcene
doaj   +1 more source

On Cauchy problem for pseudo-parabolic equation with Caputo-Fabrizio operator

open access: yesDemonstratio Mathematica, 2023
In this article, we considered the pseudo-parabolic equation with Caputo-Fabrizio fractional derivative. This equation has many applications in different fields, such as science, technology, and so on.
Nghia Bui Dai   +2 more
doaj   +1 more source

On Dirichlet problem for fractional p-Laplacian with singular non-linearity

open access: yesAdvances in Nonlinear Analysis, 2016
In this article, we study the following fractional p-Laplacian equation with critical growth and singular non-linearity:
Mukherjee Tuhina, Sreenadh Konijeti
doaj   +1 more source

Non-local gradients in bounded domains motivated by continuum mechanics: Fundamental theorem of calculus and embeddings

open access: yesAdvances in Nonlinear Analysis, 2023
In this article, we develop a new set of results based on a non-local gradient jointly inspired by the Riesz ss-fractional gradient and peridynamics, in the sense that its integration domain depends on a ball of radius δ>0\delta \gt 0 (horizon of ...
Bellido José Carlos   +2 more
doaj   +1 more source

On fractional p-Laplacian problems with local conditions

open access: yesAdvances in Nonlinear Analysis, 2018
In this paper, we deal with fractional p-Laplacian equations of the ...
Li Anran, Wei Chongqing
doaj   +1 more source

A Computational Method for the Time-Fractional Navier-Stokes Equation

open access: yesCumhuriyet Science Journal, 2018
In thisstudy, Navier-Stokes equations with fractional derivate are solved according totime variable. To solve these equations, hybrid generalized differentialtransformation and finite difference methods are used in various subdomains.The aim of this ...
Hüseyin Demir, İnci Çilingir Süngü
doaj   +1 more source

A Poster about the Recent History of Fractional Calculus [PDF]

open access: yes, 2010
MSC 2010: 26A33, 05C72, 33E12, 34A08, 34K37, 35R11, 60G22In the last decades fractional calculus became an area of intense re-search and development.
Kiryakova, Virginia   +2 more
core  

Regularity and Classification of Solutions to Fractional-Order Systems With Hartree-Type Nonlinearities

open access: yesAbstract and Applied Analysis
MSC2020 Classification: 35R11, 35B06 ...
Yu-Cheng An, Guai-Qi Tian
doaj   +1 more source

Fractional Hardy-Sobolev equations with nonhomogeneous terms

open access: yesAdvances in Nonlinear Analysis, 2021
This paper deals with existence and multiplicity of positive solutions to the following class of nonlocal equations with critical nonlinearity:
Bhakta Mousomi   +2 more
doaj   +1 more source

An Approach to Solve Fuzzy Fractional Darboux Problems Under the Caputo Derivative

open access: yesInternational Journal of Differential Equations, Volume 2025, Issue 1, 2025.
This paper investigates the Fuzzy Adomian Decomposition Method to find approximate analytical solutions for linear and nonlinear fuzzy Darboux problems using the Caputo‐type mixed fractional derivative, which plays an important role in applied and engineering sciences. The solutions are formulated as series with easily calculable terms.
Nagwa A. Saeed   +2 more
wiley   +1 more source

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