In this paper, we propose an effective numerical method to solve the one-and two-
dimensional time-fractional convection-diffusion equations based on the Caputo derivative …

This paper is devoted to developing spectral solutions for the nonlinear fractional Klein–
Gordon equation. The typical collocation method and the tau method are employed for …

In this work, we give new explicit solutions for the connection problems between generalized
Lucas polynomial sequence and the two polynomials, namely third and fourth kinds of …

The major goal of this research is to develop and test a numerical technique for solving a
linear one-dimensional telegraph problem. The generalized polynomials, namely, the …

The goal of this study is to develop some new connection formulae between two generalized
classes of Fibonacci and Lucas polynomials. Hypergeometric functions of the kind 2 F 1 (z) …

The principal aim of the current article is to establish new formulas of Chebyshev
polynomials of the sixth-kind. Two different approaches are followed to derive new …

This paper presents new results of Bernoulli polynomials. New derivative expressions of
some celebrated orthogonal polynomials and other polynomials are given in terms of …

This paper presents two new identities involving generalized Fibonacci and generalized
Lucas numbers. One of these identities generalize the two well-known identities of Sury and …

The main object of the paper is to reveal connections between Chebyshev polynomials of
the first and second kinds and Fibonacci polynomials introduced by Catalan. This is …

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