[PDF] Top 20 Note on weakly fractional differential equations
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Note on weakly fractional differential equations
... differential equations (FDEs) are a rapidly developing area of mathematics with many stimulating applications ...or fractional inclusions have been given in ...using fractional derivatives are ... See full document
11
Note on the solution of random differential equations via ψ Hilfer fractional derivative
... This manuscript is devoted to an investigation of the existence, uniqueness and stability of random differential equations with ψ -Hilfer fractional derivative. The concerned investigation of existence and ... See full document
9
A note on stability of impulsive differential equations
... However, the above short-term perturbations could not show the dynamic change of evolution processes completely in pharmacotherapy. As we know, the introduction of the drugs in the bloodstream and the consequent ... See full document
8
On solutions for classes of fractional differential equations
... of fractional calculus is viewed by the RiemannLiouville ...this note, we shall deal with scalar linear time-space fractional differential ...Riemann-Liouville fractional operators. ... See full document
8
Wavelets operational methods for fractional differential equations and systems of fractional differential equations
... of fractional differential equations has received less attention in this regard, despite the fact that most of the real world processes modeled using fractional calculus results in systems of ... See full document
63
Positive Solutions for Fractional Differential Equations with Multi Point Boundary Value Problems
... on fractional calculus are devoted to the solvability of linear initial fractional differential equations on terms of special ...nonlinear fractional differential ... See full document
7
Nonlinear fractional differential equations with nonlocal fractional integro-differential boundary conditions
... Note that the operator F : U → C([, ], R) is continuous and completely continuous. From the choice of U, there is no x ∈ ∂U such that x = λ F(x) for some λ ∈ (, ). Con- sequently, by the nonlinear alternative ... See full document
10
Fractional type of flatlet oblique multiwavelet for solving fractional differential and integro-differential equations
... [α]+1. Note that for α ∈ N , the Caputo differential operator coincides with the differential operator of integer ...Caputo’s fractional differentiation is a linear ... See full document
15
Fractional order Euler functions for solving fractional integro differential equations with weakly singular kernel
... some fractional-order functions (polynomial or wavelet) have been proposed to solve fractional differential ...the fractional-order generalized Laguerre functions to find numerical solution of systems ... See full document
13
Some new weakly singular integral inequalities and their applications to fractional differential equations
... integral equations, as well as in the modeling of en- gineering and science ...of fractional differential equations, integral inequalities with weakly singular kernels have drawn more attention ... See full document
16
Oscillation criteria of fractional differential equations
... of fractional derivatives goes back to Leibniz ’ s note in his list to L ’ Hospi- tal [1], dated 30 September 1695, in which the meaning of the derivative of order 1/2 is ...s note led to the ... See full document
10
On solutions of fractional Riccati differential equations
... differential equations arise in many fields, although discussions on the numerical methods for these equations are ...for fractional Riccati differential ...the fractional Chebyshev finite ... See full document
10
Random fractional functional differential equations
... on fractional calculus (see [20, 23, ...random fractional functional differential equations under assumptions more general than the Lipschitz type ... See full document
15
Fuzzy Local Fractional Differential Equations
... local fractional H-differentiability is based on the Riemann-Liouville H-differentiability for a fuzzy-valued function of a single variable and some of its properties are considered, are given in section ...local ... See full document
16
Fractional differential equations with causal operators
... functional equations with causal operators has seen a rapid development in the last few ...differential equations with causal operators were considered, for example, in papers [–], in particular, the ... See full document
11
Solving STO And KD Equations with Modified Riemann-Liouville Derivative Using Improved (G’/G)-expansion Function Method
... many fractional physical ...of fractional models, several local versions of fractional deriva- tives have been proposed, among them Jumarie’s derivative is a modified Riemann-Liouville derivative ... See full document
7
Techniques for Solving a Certain Class of Partial Differential Equation by Fractional Fourier Transform
... term fractional Fourier transforms is crucial in the study of Mathematics and ...systems, fractional Fourier transforms (generalized form of Fourier ...term fractional Fourier transform for the first ... See full document
16
A note on the initial value problem of fractional evolution equations
... In what follows, we recall the following Gronwall-Bellman type inequalities, which can be used in fractional differential equations and integral equations with singular kernel. Lemma . ([]) ... See full document
8
The fractional calculus numerical algorithms and its application to the viscoelastic material problem
... for fractional differential equations [6] have been heated discussion in domestic and foreign recently, including time and space fractional derivative, single and multi-fractional ... See full document
8
Solution Of Integro-Differential Equation Of The Second Order With The Operators
... Theorem 2. (Existence theorem) .Let the vector functions 𝑓 (𝑡, 𝑥, 𝑥,̇ 𝑦, 𝑦,̇ 𝑧) , 𝑔(𝑡, 𝑥, 𝑥,̇ 𝑤, 𝑤̇) be defined on the domain (1) continuous in 𝑡, 𝑥, 𝑥,̇ 𝑦, 𝑦,̇ 𝑧 ̇ , 𝑤, 𝑤̇ and satisfy the inequalities( 2) to (8)and the ... See full document
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