Bu makalede, geliştirilmiş tan(φ/2)-açılım yöntemi ve en basit denklem uygulanmıştır. Alçak geçiren elektrik iletim hatlarının Atangana-Baleanu türev operatörü aracılığıyla kesirli mertebeden lineer olmayan modeli dikkate alınmış önerilen yöntemler kullanılarak bu denklemin tam çözümleri oluşturulmuştur. makale, yöntemlerin doğrusal evrim denklemleri üzerindeki uygulanabilirliğini etkinliğini a...

In this paper, a new fractional sub-equation method is proposed for finding exact solutions of fractional partial differential equations (FPDEs) in the sense of modified Riemann-Liouville derivative. With the aid of symbolic computation, we choose the space-time fractional Zakharov-Kuznetsov-Benjamin-Bona-Mahony (ZKBBM) equation in mathematical physics with a source to illustrate the validity a...

The significance of thermal conductivity, convection, and heat transportation hybrid nanofluids (HNFs) based on different nanoparticles has enhanced an integral part in numerous industrial natural processes. In this article, a fractionalized Oldroyd-B HNF along with other significant effects, such as Newtonian heating, constant concentration, the wall slip condition temperature close to infinit...

in this article, we survey the asymptotic stability analysis of fractional differential systems with the prabhakar fractional derivatives. we present the stability regions for these types of fractional differential systems. a brief comparison with the stability aspects of fractional differential systems in the sense of riemann-liouville fractional derivatives is also given.

In this paper, based on the fractional Riccati equation, we propose an extended fractional Riccati sub-equation method for solving fractional partial differential equations. The fractional derivative is defined in the sense of the modified Riemann-Liouville derivative. By a proposed variable transformation, certain fractional partial differential equations are turned into fractional ordinary di...

In this article, the modified simple equation method has been extended to celebrate the exact solutions of nonlinear partial time-space differential equations of fractional order. Firstly, the fractional complex transformation has been implemented to convert nonlinear partial fractional differential equations into nonlinear ordinary differential equations. Afterwards, modified simple equation m...

Abstract This study provides the exact solutions of couple stress fluid (CSF) in a channel. The CSF is bounded by two plates which lower plate moving with constant velocity Uo and upper fixed. influence external pressure gradient considered on fluid. To transform classical model, we have introduced three approaches to fractional derivatives, (a) Caputo (b) Caputo–Fabrizio (CF), (c) Atangana–Bal...