A singular ABC-fractional differential equation with p-Laplacian operator

By Hasib Khan, Fahd Jarad, Thabet Abdeljawad, Aziz Khan. 2019

70 citations recorded by the source corpus.

Abstract In this article, we have focused on the existence and uniqueness of solutions and Hyers–Ulam stability for ABC-fractional DEs with p-Laplacian operator involving spatial singularity. The existence and uniqueness of solutions are derived with the help of the well-known Guo-Krasnoselskii theorem. Our work is a continuation of the study carried out in the recently published article ” Chaos Solitons & Fractals. 2018;117:16-20.” To manifest the results, we include an example with specific parameters and assumptions.

Subfields: Applied Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/6ea90a8d5de8234d6706dcdaa91821a3a70912b2

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. Aziz Khan
2. Hasib Khan
3. Cemil Tunç

In Modeling and Simulation

1. Aziz Khan
2. Hasib Khan
3. Cemil Tunç

Citations in the corpus

• STABILITY RESULTS AND EXISTENCE THEOREMS FOR NONLINEAR DELAY-FRACTIONAL DIFFERENTIAL EQUATIONS WITH $ \varphi^*_P $-OPERATOR (2020, background): “For some more related results, we suggest the readers [26,28].”