We approximate the solution of a generalized form of the Bagley–Torvik equation using
Taylor's expansions in fractional powers. Then, we study the fractional Laguerre-type logistic …

In this paper we obtain some new explicit results for nonlinear equations involving Laguerre
derivatives in space and/or in time. In particular, by using the invariant subspace method, we …

Laguerrian derivatives and related autofunctions are presented that allow building new
special functions determined by the action of a differential isomorphism within the space of …

In this note we prove some new results about the application of Wright functions of the first
kind to solve fractional differential equations with variable coefficients. Then, we consider …

AN INTRODUCTION TO OPERATIONAL TECHNIQUES AND SPECIAL POLYNOMIALS PE
Ricci and I. Tavkhelidze UDC 517.58 Page 1 Journal of Mathematical Sciences, Vol. 157, No …

Logistic equations play a pivotal role in the study of any nonlinear evolution process
exhibiting growth and saturation. The interest for the phenomenology they rule goes well …

Bernoulli and Euler numbers and polynomials are well known and find applications in
various areas of mathematics, such as number theory, combinatorial mathematics, series …

An extension of the Laplace transform obtained by using the Laguerre-type exponentials is
first shown. Furthermore, the solution of the Blissard problem by means of the Bell …

In the recent development in various disciplines of physics, it is noted the need for including
the deformed versions of the exponential functions. In last two decades, the Tsallis and …

A Note on Fractional-Type Models of Population Dynamics Page 1 Mathematical Modelling and
Analysis Volume 29, Issue 3, 480–492, 2024 https://doi.org/10.3846/mma.2024.19588 A Note …