Geometrical study and solutions for family of burgers-like equation with fractional order space time

• Published in: Alexandria engineering journal Vol. 61; no. 1; pp. 511 - 521
• Main Authors: A-B. Abdel-Salam, Emad, Jazmati, Mohamed S., Ahmad, Hijaz
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01-01-2022; Elsevier
• Subjects: Conformable fractional order; Fractional differential equations; Fractional order Burgers equation; Fractional order Burgers equation; Fractional differential equations; Conformable fractional order
• ISSN: 1110-0168
• DOI: 10.1016/j.aej.2021.06.032

Oneofthebasichydrodynamicmodelsisthefamous Burgersformula. Thisdescribesthe creation ofthestickyparticlevelocityfieldwhichinteractsonlywhenitcollides. In the present paper, we are going to give a systematic formulation of a new family of Burgers-like equations with fractional space–time order. Exact solutions are constructed by using the direct method. A geometrical study for the fractional space is presented and applied to the obtained solutions. The present solutions are the same as the integer one and revealed that the arbitrariness of fraction orders makes systems even richer.