...Mostafa Abbaszadeh; AliReza Bagheri Salec; Shurooq Kamel Abd Al-Khafaji Purpose The space fractional PDEs (SFPDEs) play an important role in the fractional calculus field. Proposing a high-order, stable and flexible numerical procedure for solving SFPDEs is the main aim of most researchers...

... chart illustrates the suggested procedure in Figure 4 as: Figure 4 Flow chart of the methodology Computational plasma physics Fractional calculus Atangana–Baleanu fractional symmetric two-stream instability Shifted Gegenbauer polynomials We merged three well-known branches...

...Zaher Rahimi; Wojciech Sumelka; Xiao-Jun Yang Purpose Recently, a new formulation has been introduced for non-local mechanics in terms of fractional calculus. Fractional calculus is a branch of mathematical analysis that studies the differential operators of an arbitrary (real or complex) order...