In this work, we employed the Laplace transform of right-sided distributions in conjunction with power series method to obtain distributional solutions modified Bessel equation and its related equation, whose coefficients contain parameters ν γ. We demonstrated that can be expressed as finite linear combinations Dirac delta function derivatives, specific form depending on values

In this paper, a new efficient and practical modification of the Adomian decomposition method is proposed with Laguerre polynomials second kind Chebyshev which has not been introduced in other articles to best our knowledge. This approach can be utilized approximately solve linear nonlinear differential equations. The formulations are examined by representative example numerical results confirm...

In this paper‎, ‎first we propose a new method to approximate the solution of two-dimensional linear fuzzy Fredholm integral equations of the second kind based on the fuzzy wavelet like operator‎. ‎Then‎, ‎we discuss and investigate the convergence and error analysis of the proposed method‎. ‎Finally‎, ‎to show the accuracy of the proposed method‎, ‎we present two numerical ‎examples.‎

In a recent article, the first and second kinds of multivariate Chebyshev polynomials fractional degree, relevant integral repesentations, have been studied. this we introduce pseudo-Lucas functions show possible applications these new functions. For kind, compute Newton sum rules any orthogonal polynomial set starting from entries Jacobi matrix. representation formulas for powers r×r matrix, a...

A generalized Chebyshev wavelet operational matrix (CWOM) is presented for the solution of nonlinear Riccati differential equations. The operational matrix together with suitable collocation points converts the fractional order Riccati differential equations into a system of algebraic equations. Accuracy and efficiency of the proposed method is verified through numerical examples and comparison...