New optical solitons of nonlinear conformable fractional Schrödinger-Hirota equation

Asymptotical stability analysis of conformable fractional systems

“…Over the past few decades, a simple definition called conformable fractional derivative was proposed in [9]. For more results about conformable fractional derivative, we refer the reader to [10][11][12][13][14][15][16][17][18]. This derivative seems to be more natural, and it coincides with the classical definition of the first derivative.…”

Exact solutions of fractional partial differential equation systems with conformable derivative

“…In addition to these advantages CFD is type of local fractional derivatives are important in themselves being used, due to their well-behaved, in generalizing and describing certain models depending on ordinary or partial differential equations [6,7,14,[18][19][20][21][22][23][24]. Exact solutions can be obtained.…”

Two Reliable Methods for The Solution of Fractional Coupled Burgers’ Equation Arising as a Model of Polydispersive Sedimentation

“…In the last decades, it has been frequently researched by many scientists to model real world problems. Therefore, it offered a decent way of implementation for plenty of models in miscellaneous areas of engineering and physics such as, electrical networks [9], fluid flow [11], image and signal processing [17], mathematical physics [30], viscoelasticity [25], biology [20], control [5] and see references therein [31][32][33][34][35][36][37][38][39][40][41][42][43][44].…”