2.1 Integral transforms.......................... 5 2.1. 1 Laplace transform...................... 5 2.1. 2
Exponential Fourier transform............... 8 2.1. 3 Sin-Fourier transform.................... 10 2.1. 4 …

In this paper, we prove the existence and controllability results for fractional semilinear
differential inclusions involving the Caputo derivative in Banach spaces. The results are …

Recently, fractional differential equations (FDEs) have attracted much more attention in
modeling real-life problems. Since most FDEs do not have exact solutions, numerical …

This paper mainly discusses a novel conceptual framework: fractional Hopfield neural
networks (FHNN). As is commonly known, fractional calculus has been incorporated into …

In this paper, we have aimed the numerical inverse Laplace homotopy technique for solving
some interesting 1-D time-fractional heat equations. This method is based on the Laplace …

In recent years, the research of artificial neural networks based on fractional calculus has
attracted much attention. In this paper, we proposed a fractional‐order deep …

In this paper, based on fractional calculus, the fractional-order memristor, an arbitrary-order
fracmemristor, is proposed to be implemented in the form of a lattice scaling analog circuit …

This paper discusses a novel conceptual formulation of the fractional-order variational
framework for retinex, which is a fractional-order partial differential equation (FPDE) …

This study presents two new numerical techniques for solving time-fractional one-
dimensional cable differential equation (FCE) modeling neuronal dynamics. We have …

The conformable heat equation is defined in terms of a local and limit-based definition called
conformable derivative which provides some basic properties of integer order derivative …