Concepedia

Solving fractal-fractional differential equations using operational matrix of derivatives via Hilfer fractal-fractional derivative sense

A. M. Shloof, Norazak Senu, Ali Ahmadian, Nik Mohd Asri Nik Long, Soheil Salahshour

Applied Numerical Mathematics · 2022 · 23 citations · 38 references

DOI

Concepts

References

38

Fractal-fractional differentiation and integration: Connecting fractal calculus and fractional calculus to predict complex system

Abdon Atangana · Chaos Solitons & Fractals · 2017 · 820 citations

, , +11

A new operational matrix for solving fractional-order differential equations

Abbas Saadatmandi, Mehdi Dehghan · Computers & Mathematics with Applications · 2009 · 793 citations

, , +9

Existence and uniqueness for a problem involving Hilfer fractional derivative

Khaled M. Furati, Mohammed D. Kassim, Nasser‐eddine Tatar · Computers & Mathematics with Applications · 2012 · 504 citations

, , +9

Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order

Zaid Odibat, Shaher Momani · Chaos Solitons & Fractals · 2006 · 445 citations

, , +10

Modeling attractors of chaotic dynamical systems with fractal–fractional operators

Abdon Atangana, Sania Qureshi · Chaos Solitons & Fractals · 2019 · 413 citations

, , +14