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[PDF] Top 20 Fuzzy Local Fractional Differential Equations

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Fuzzy Local Fractional Differential Equations

Fuzzy Local Fractional Differential Equations

... of fuzzy fractional differential equations under fuzzy Kolwankar- Gangal local fractional derivatives (for short, fuzzy KG-LFD) using fuzzy Riemann-Liouville ...of ... See full document

16

Local stable manifold of Langevin differential equations with two fractional derivatives

Local stable manifold of Langevin differential equations with two fractional derivatives

... planar fractional damped equations involving two Caputo fractional derivatives with zero and first derivative initial condi- tions which act on two-dimensional vectors with one order belonging to (, ... See full document

15

Solving some System of Linear Fuzzy Fractional Differential Equations by Adomian Decomposition Method

Solving some System of Linear Fuzzy Fractional Differential Equations by Adomian Decomposition Method

... Lu+Ru+Nu=g (3.1) where L is the highest order derivative which is assumed to be easily invertible, R is a linear differential operator of order less than L, N represents the nonlinear terms, and g is the source ... See full document

10

Exact solutions for linear systems of local fractional partial differential equations

Exact solutions for linear systems of local fractional partial differential equations

... the local fractional Sumudu decomposition method to solve linear system of local fractional partial differential ...The local fractional Sumudu decomposition methodl ... See full document

8

Local-Non Local Fractional Differential Equation In Benach Space

Local-Non Local Fractional Differential Equation In Benach Space

... This section concerned with a generalization of the results presented is the previous section to nonlocal fractional differential equations. More precisely we shall present some existence and ... See full document

9

Approximate Solution for Fuzzy Differential Algebraic Equations of Fractional Order Using Fractional Differential Transform Method

Approximate Solution for Fuzzy Differential Algebraic Equations of Fractional Order Using Fractional Differential Transform Method

... Piston-Ring Assembly (a) Equivalent Stresses (von-misses) (b) Result Maximum shear stress (c) frictional Stress Acting on Bronze Piston Ring (d) Sliding distance occur during the operat[r] ... See full document

9

A Numerical Method for Solving Fuzzy Differential Equations With Fractional Order

A Numerical Method for Solving Fuzzy Differential Equations With Fractional Order

... of fuzzy valued function f is expressed by [f] r (t) = [f − (t, r), f + (t, r)], where t ∈ [a, b], r ∈ [0, ...a fuzzy-valued function f : (a, b) → R F at t 0 is defined ... See full document

7

Fractional complex transform method for wave equations on Cantor sets within local fractional differential operator

Fractional complex transform method for wave equations on Cantor sets within local fractional differential operator

... the fractional complex transform method is derived from the local fractional differential operator, which is set up on ...differential equations from micro-physical to macro-physical behavior of ... See full document

8

Local uniqueness of positive solutions for a coupled system of fractional differential equations with integral boundary conditions

Local uniqueness of positive solutions for a coupled system of fractional differential equations with integral boundary conditions

... Liouvillle fractional integro-differential boundary ...of fractional differential equations supplemented with these ...with fractional coupled ... See full document

12

On two general nonlocal differential equations problems of fractional orders

On two general nonlocal differential equations problems of fractional orders

... In this paper, we prove some local and global existence theorems for a fractional orders differential equations with nonlocal conditions, also the uniqueness of the solution will be stud[r] ... See full document

5

Fractional complex transforms for fractional differential equations

Fractional complex transforms for fractional differential equations

... Transform is a significant technique to solve mathematical problems. Many useful trans- forms for solving various problems appeared in open literature such as wave transforma- tion, the Laplace transform, the Fourier ... See full document

12

A Coupling Method of Regularization and Adomian Decomposition for Solving a Class of the Fredholm Integral Equations Within Local Fractional Operators

A Coupling Method of Regularization and Adomian Decomposition for Solving a Class of the Fredholm Integral Equations Within Local Fractional Operators

... within local fractional differential operators to handle local fractional Fredholm integral equation of the first ...on local fractional ...solving local ... See full document

5

Local existence for an impulsive fractional neutral integro differential system with Riemann–Liouville fractional derivatives in a Banach space

Local existence for an impulsive fractional neutral integro differential system with Riemann–Liouville fractional derivatives in a Banach space

... past”. Fractional differential equa- tions (abbreviated, FDEs) and integro-differential equations have gained wide importance as a result of their applications in numerous fields like physics, mechanics, ... See full document

26

The variational iteration method for fuzzy fractional differential equations with uncertainty

The variational iteration method for fuzzy fractional differential equations with uncertainty

... differential equations, of fractional order and with un- certainty, to consider a new type of dynamical system: fuzzy differential equations of frac- tional order ...for fuzzy initial ... See full document

7

Existence, uniqueness and stability of fuzzy fractional differential equations with local Lipschitz and linear growth conditions

Existence, uniqueness and stability of fuzzy fractional differential equations with local Lipschitz and linear growth conditions

... display fractional-order demeanor that may vary with space or ...The fractional calculus has authorized the operations of differentiation and integration to all fractional order ...of ... See full document

13

Linear fractional fuzzy differential equations with Caputo derivative

Linear fractional fuzzy differential equations with Caputo derivative

... for fractional dif- ferential equations with ...of fractional with ...nonlinear fuzzy fractional integral and integrodifferential ...to fuzzy fractional ... See full document

14

Algebraic Equations of Fractional Order Using Fractional Differential Transform Method

Algebraic Equations of Fractional Order Using Fractional Differential Transform Method

... caputo fractional derivative of order q and with A(t) is n⨉n singular matrix, B(t) is n⨉n nonsingular matrix , f is n⨉1 vector function , x is n⨉1 known fuzzy number ...is fuzzy then the solution ( ) ... See full document

10

Local Solution of Delay Fractional Differential Equations

Local Solution of Delay Fractional Differential Equations

... Riemann-Liouville’s fractional derivative is that for t  R  and   R  , we have D 0  ( I g t 0  ( ))  g t ( ) , which means that Riemann-Liouville’s fractional differentiation operator is a left ... See full document

6

Approximate Solution of Fuzzy Fractional Differential Equations

Approximate Solution of Fuzzy Fractional Differential Equations

... the fractional derivative of ...Reimann-Liouville’s fractional derivative of a crisp function in Eq. (2.1) to define fuzzy fractional ...a fuzzy function defined as ... See full document

8

An Efficient Technique for Solving Linear and Nonlinear Wave Equation within Local Fractional Operators

An Efficient Technique for Solving Linear and Nonlinear Wave Equation within Local Fractional Operators

... the differential equations, which are very helpful for many physical ...These equations are represented by linear and nonlinear partial differential equations and solving such ... See full document

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