Fractional Calculus and Time-Fractional Differential Equations: Revisit and Construction of a Theory

JOURNAL ARTICLE published 23 February 2022 in Mathematics

Research funded by Japan Society for the Promotion of Science ((A) 20H00117,(A) 20H00117) | National Natural Science Foundation of China (11771270, 91730303)

Authors: Masahiro Yamamoto

4 Difference methods for the space-fractional partial differential equations

BOOK CHAPTER published 24 August 2020 in Fractional Differential Equations

3 Impulsive Nonlinear Implicit Fractional Differential Equations

BOOK CHAPTER published 5 February 2018 in Implicit Fractional Differential and Integral Equations

5 Difference methods for the time-space-fractional differential equations

BOOK CHAPTER published 24 August 2020 in Fractional Differential Equations

Fractional Fokker-Planck Equations

BOOK CHAPTER published April 2024 in Fractional Partial Differential Equations

Tensor product technique and fractional differential equations

JOURNAL ARTICLE published 2020 in Journal of Semigroup Theory and Applications

Abstract linear fractional evolution equations

BOOK CHAPTER published 18 February 2019 in Fractional Differential Equations

Authors: Carlos Lizama

Abstract nonlinear fractional evolution equations

BOOK CHAPTER published 18 February 2019 in Fractional Differential Equations

Authors: Carlos Lizama

Fractional Rayleigh-Stokes Equations

BOOK CHAPTER published April 2024 in Fractional Partial Differential Equations

Fractional Navier-Stokes Equations

BOOK CHAPTER published April 2024 in Fractional Partial Differential Equations

The Cauchy problem for fractional differential equations with worsening right-hand sides

JOURNAL ARTICLE published August 2006 in Differential Equations

Authors: E. A. Barkova | P. P. Zabreiko

The Solution of Linear Fractional Differential Equations Based on the Fractional Trigonometry

OTHER published 30 November 2016 in The Fractional Trigonometry

Numerical Methods for Fractional Partial Differential Equations

BOOK CHAPTER published April 2015 in Fractional Partial Differential Equations and Their Numerical Solutions

5 Nonlinear fractional pantograph differential equations with ψ-Caputo derivative

BOOK CHAPTER published 6 November 2023 in Fractional Differential Equations

Some Volterra-Type Fractional Integro-Differential Equations with a Multivariable Confluent Hypergeometric Function as Their Kernel

JOURNAL ARTICLE published 1 June 2005 in Journal of Integral Equations and Applications

Authors: H.M. Srivastava | R.K. Saxena

The solution of a class of linear differential equations via functions of the Mittag-Leffler type

JOURNAL ARTICLE published February 2000 in Differential Equations

Authors: M. Saigo | A. A. Kilbas

Periodic boundary value problems for Riemann-Liouville sequential fractional differential equations

JOURNAL ARTICLE published 2011 in Electronic Journal of Qualitative Theory of Differential Equations

Authors: Zhongli Wei | Wei Dong

6 Integrable Solutions for Implicit Fractional Differential Equations

BOOK CHAPTER published 5 February 2018 in Implicit Fractional Differential and Integral Equations

Application of the Exponential Rational Function Method to Some Fractional Soliton Equations

BOOK CHAPTER published 2020 in Emerging Applications of Differential Equations and Game Theory

Authors: Mustafa Ekici | Metin Ünal

Solutions of two-term time fractional order differential equations with nonlocal initial conditions

JOURNAL ARTICLE published 2012 in Electronic Journal of Qualitative Theory of Differential Equations

Authors: Carlos Lizama