This study establishes the existence and stability of solutions for a general class Riemann–Liouville (RL) fractional differential equations (FDEs) with variable order finite delay. Our findings are confirmed by fixed-point theorems (FPTs) from available literature. We transform RL FDE to alternate integral structure, then use classical FPTs, results studied Hyers–Ulam is established help stand...

Wavelet transforms or wavelet analysis represent a recently created mathematical tool for assistance in resolving various issues. Wavelets can also be used numerical analysis. In this study, we solve pantograph delay differential equations using the Modified Laguerre method (MLWM), an effective technique. Fractional derivatives are defined Caputo operator. The convergence of suggested strategy ...

In this paper, a higher order nonlinear neutral functional differential equation with distributed delay is studied by using the continuation theorem of coincidence degree theory. Some new results on the existence of periodic solutions are obtained. Keywords—Neutral functional differential equation, higher order, periodic solution, coincidence degree theory