A novel method for a fractional derivative with non-local and non-singular kernel

By Ali Akgül. Chaos, Solitons & Fractals, 2018

287 citations recorded by the source corpus.

Abstract Atangana and Baleanu gave a derivative with fractional order to search the valuable inquiries. We present a novel technique for investigating fractional differential equations including the Atangana-Baleanu fractional derivative in this paper. We give some examples for this method for equations of fractional initial value problems.

Subfields: Applied Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/4e1df9ccb6b9336f17d5fe909560625e8538c98f

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Behzad Ghanbari
2. Sunil Kumar

In Modeling and Simulation

1. Behzad Ghanbari
2. Sunil Kumar

Citations in the corpus

• A study on fractional predator–prey–pathogen model with Mittag–Leffler kernel‐based operators (2020, methodology): “For example, some of these meth-ods are Reproducing kernel Hilbert space method [31, 32], Crank–Nicholson difference method [33], Variational approach [34, 35], q-homotopy analysis method [36], Laplace HPM [37, 36], Numerical schemes [38, 39], fixed point technique [40, 41], predictor–corrector,…”