Fractals · 2020 · 42 citations · 17 references
Natural SciencesMathematicsDifferential EquationsFluid DynamicsFractal GeometryPartial Differential EquationsVariational FormulationVariational InequalitiesVariational PrinciplesKdv EquationNonlinear Variational FormulationNonlinear Variational ProblemsSpecial Function IdentitiesVariational Methods In Partial Differential Equations
A generalized KdV equation with fractal derivatives is suggested, and a special function is introduced to establish a fractal variational principle. A detailed derivation is elucidated step by step by the semi-inverse method, and some special cases are discussed.
17
Fractal calculus and its geometrical explanation
Ji‐Huan He · Results in Physics · 2018 · 514 citations · Full text
Two-scale mathematics and fractional calculus for thermodynamics
Ji‐Huan He, Fei-Yu Ji · Thermal Science · 2019 · 297 citations · Full text
On two-scale dimension and its applications
Qura Tul Ain, Ji‐Huan He · Thermal Science · 2019 · 259 citations · Full text
TAYLOR SERIES SOLUTION FOR FRACTAL BRATU-TYPE EQUATION ARISING IN ELECTROSPINNING PROCESS
Chun‐Hui He, Yue Shen, Fei-Yu Ji et al. · Fractals · 2019 · 200 citations