Abstract Our goal is to establish a hidden regularity result for solutions of time fractional Petrovsky systems. The order $$\alpha $$ α the Caputo derivative belongs interval (1, 2). We achieve such suitable class weak solutions.

the aim of this paper is to present a new numerical method for solving the bagley-torvik equation. this equation has an important role in fractional calculus. the fractional derivatives are described based on the caputo sense. some properties of the sinc functions required for our subsequentdevelopment are given and are utilized to reduce the computation of solution of the bagley-torvik equatio...

We present a general series representation formula for the local solution of Bernoulli equation with Caputo fractional derivatives. then focus on generalization logistic and some related numerical simulations.

Sufficient conditions for extremum of fractional variational problems are formulated with the help Caputo derivatives. The Euler–Lagrange equation is defined in sense and Jacobi derived using this. Again, Wierstrass integral considered functional obtained from transversality conditions. Further, Taylor’s series expansion derivatives integral, Legendre’s sufficient condition problem established....

We study epidemic Susceptible–Infected–Susceptible (SIS) models in the fractional setting. The novelty is to consider which susceptible and infected populations evolve according different orders. a model based on Caputo derivative, for we establish existence results of solutions. Furthermore, investigate Caputo–Fabrizio operator, provide solutions equilibria. Both can be framed context SIS with...