In this article, we will show the complex inversion formula for the inversion of the L2-transform and also some applications of the L2, and Post Widder transforms for solving singular integral equation with trigonometric kernel. Finally, we obtained analytic solution for a partial differential equation with non-constant coefficients.

this paper presents an efficient modification of the variational iteration method for solvingboundary value problems using the chebyshev polynomials. the proposed method can be applied to linearand nonlinear models. the scheme is tested for some examples and the obtained results demonstrate thereliability and efficiency of the proposed method.

The main objective of this paper is to introduce interval two-point fuzzy boundary value problems, in which the fuzziness course when coefficients governing ordinary differential equation and/or conditions include numbers either triangular or trapezoidal types. Such equations will be solved by introducing concept α – level sets,  [0,1] treat into two nonfuzzy equations, correspond lower and up...

Two-point boundary value problem is considered for a second order fuzzy differential equation. This problem is reformulated to four different system of crisp boundary value problems, when fuzzy derivative is considered as a generalization of the Hderivative [1]. So, this problem has four different solutions. Numerical solution of each system is obtained by applying the shooting method. Numerica...

In this work we solve numerically a boundary value problem for second order fuzzy differential equations under generalized differentiability in the form y′′(t) = p(t)y′(t) + q(t)y(t) + F(t) y(0) = γ, y(`) = λ where t ∈ T = [0, `], p(t) ≥ 0, q(t) ≥ 0 are continuous functions on [0, `] and [γ]α = [γα ,γα ], [λ ] α = [λ α ,λ α ] are fuzzy numbers. There are four different solutions of the problem ...

fractional calculus has been used to model physical and engineering processes that are found to be best described by fractional differential equations. therefore, a reliable and efficient technique as a solution is regarded.this paper develops approximate solutions for boundary value problems ofdifferential equations with non-integer order by using the shannon waveletbases. wavelet bases have d...

In this paper, we consider homogeneous and non-homogeneous system of first order linear fuzzy boundary value problems (SFOLBVPs) under granular differentiability. Using the concept horizontal membership function, introduced notion differentiability for n-dimensional functions. We present integral its properties. Theorems on existence uniqueness solutions SFOLFBVPs are proved. develop an algorit...