On the Fuzzy Solution of Linear-Nonlinear Partial Differential Equations
Mathematics, 2022 In this article, we present the fuzzy Adomian decomposition method (ADM) and fuzzy modified Laplace decomposition method (MLDM) to obtain the solutions of fuzzy fractional Navier–Stokes equations in a tube under fuzzy fractional derivatives.
Mawia Osman +3 more
doaj +1 more source
An eigenvalue-eigenvector method for solving a system of fractional differential equations with uncertainty [PDF]
, 2013 A new method is proposed for solving systems of fuzzy fractional differential equations (SFFDEs) with fuzzy initial conditions involving fuzzy Caputo differentiability.
Aghabeigi, S. +4 more
core +3 more sources
A fractional multistep method for solving a class of linear fractional differential equations under uncertainty [PDF]
, 2015 The objective of this research has been devoted to solve linear fuzzy fractional differential equations (FFDEs) of the Caputo sense. The basic idea is to develop a fractional linear multistep method for solving linear FFDEs under fuzzy fractional ...
Ahmadian, Ali +4 more
core +1 more source
Stability of intuitionistic fuzzy nonlinear fractional differential equations [PDF]
Notes on Intuitionistic Fuzzy Sets, 2021 In this paper, we study the existence and uniqueness results of solution for the intuitionistic fuzzy nonlinear fractional differential equations involving the Caputo concepts of fractional derivative. In addition, we establish essentially the Mittag-Leffler stability result for the intuitionistic fuzzy nonlinear fractional differential equations by ...
Said Melliani +3 more
openaire +1 more source
Toward the existence and uniqueness of solutions for fractional integro-differential equations under uncertainty [PDF]
, 2016 The main contribution of the current paper is to obtain new results on the existence and uniqueness of the solution of fractional integro-differential equations under uncertainty with nonlocal conditions.
Hosseini, Ali Ahmadian +4 more
core +1 more source
Novel Approaches for Solving Fuzzy Fractional Partial Differential Equations
Fractal and Fractional, 2022 In this paper, we present a comparison of several important methods to solve fuzzy partial differential equations (PDEs). These methods include the fuzzy reduced differential transform method (RDTM), fuzzy Adomian decomposition method (ADM), fuzzy ...
Mawia Osman +3 more
doaj +1 more source
On a numerical solution for fuzzy fractional differential equation using an operational matrix method [PDF]
, 2015 In the current manuscript we suggest an approach to obtain the solutions of the fuzzy fractional differential equations (FFDEs). We found the operational matrix within the modified Laguerre functions.
Ahmadian, Ali +3 more
core +1 more source
Existence and Uniqueness of Mild Solution for Fractional-Order Controlled Fuzzy Evolution Equation
Journal of Function Spaces, 2021 In this article, we investigated the existence and uniqueness of mild solutions for fractional-order controlled fuzzy evolution equations with Caputo derivatives of the controlled fuzzy nonlinear evolution equation of the form 0cDIγxI=αxI+PI,xI+AIWI,I∈0,
Naveed Iqbal +3 more
doaj +1 more source
SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry [PDF]
, 2008 We review the recent developments of the SUSY quantum Hall effect [hep-th/0409230, hep-th/0411137, hep-th/0503162, hep-th/0606007, arXiv:0705.4527]. We introduce a SUSY formulation of the quantum Hall effect on supermanifolds.
Hasebe, Kazuki
core +5 more sources
Abstract and Applied Analysis, 2013 This paper deals with the numerical solutions of fuzzy fractional differential equations under Caputo-type fuzzy fractional derivatives of order . We derived the shifted Legendre operational matrix (LOM) of fuzzy fractional derivatives for the numerical ...
Ali Ahmadian +2 more
doaj +1 more source