Results 151 to 160 of about 3,290 (179)

A comparative framework for convergence analysis of perturbation series techniques in nonlinear fractional quadratic differential equations. [PDF]

PLoS One
Hashim DJ.
europepmc   +1 more source

Abundant different types of soliton solutions for fractional modified KdV equation using auxiliary equation method. [PDF]

Sci Rep
Hussain A, Ibrahim TF, Birkea FMO, Yahya MS, Hassaballa AA, Mukalazi H.   +5 more
europepmc   +1 more source

Fractional-order modelling and analytical solutions for MHD casson fluid flow in an inclined channel with heat and mass transfer. [PDF]

Sci Rep
Alwuthaynani M, Ishtiaq U, El-Wahed Khalifa HA, Alburaikan A, Idress R, Popa IL.   +5 more
europepmc   +1 more source

The fractional soliton solutions of the dynamical system of equations for ion sound and Langmuir waves: a comparative analysis. [PDF]

Sci Rep
Faridi WA, Jhangeer A, Riaz MB, Asjad MI, Muhammad T.   +4 more
europepmc   +1 more source

Space-time variable-order fractional analysis of nonlinear longitudinal wave propagation in magneto-electro-elastic materials. [PDF]

Sci Rep
Khan MA, Ali MKM, Sathasivam S, Soliman NF, Algarni AD.   +4 more
europepmc   +1 more source

Fundamental Solutions to Fractional Heat Conduction in Two Joint Half-Lines Under Conditions of Nonperfect Thermal Contact. [PDF]

Entropy (Basel)
Povstenko Y, Kyrylych T, Dashkiiev V, Yatsko A.   +3 more
europepmc   +1 more source

Propagation of solitary waves for hydrodynamical nonlinear complex model in a fractional derivative setting. [PDF]

Sci Rep
Bilal M, Alawaideh YM, Rehman SU, Yousif MA, Baleanu D, Mohammed PO, Abdeljawad T.   +6 more
europepmc   +1 more source

Novel approximate solutions of the fractional form of graphene sheet thermophoretic motion model. [PDF]

Sci Rep
Abdel-Aty AH, Hafez M, Wan Niu Voon B, Albalawi W, Abdalla M, Mohamed Ali H.   +5 more
europepmc   +1 more source

Numerical robustness of COVID-19 model with Lyapunov stability analysis. [PDF]

Sci Rep
Pandey A, Ghosh S.
europepmc   +1 more source

Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable functions further results

Computers and Mathematics With Applications, 2006
The paper gives some results and improves the derivation of the fractional Taylor's series of nondifferentiable functions obtained recently in the form f (χ + h) = Eα (hαDχα)f(χ), 0 α ≤ 1, where Eα is the Mittag-Leffier function.
Jumarie, G.
exaly   +2 more sources