In this work, we consider the stochastic fractional-space Kuramoto–Sivashinsky equation using conformable derivative. The Riccati method is used to get analytical solutions space-fractional equation. Because has never been examined with and multiplicative noise at same time, generalize some previous results. Moreover, display how influences on stability of obtained

Abstract We study a conformable fractional nonlocal thermistor problem on time scales. Under an appropriate nonrestrictive condition the resistivity function, we establish existence and uniqueness results. The proof is based use of Schauder’s point fixed theorem.

In this study, we introduce a new conformable derivative, namely the beta-conformable derivative. We derive Taylor?s theorem for also investigate some properties of and useful related theorems light operator, extend recent classical integral inequalities including Steffensen Hermite-Hadamard inequality.

In this study, we investigate the oscillatory properties of solutions a class conformable fractional generalized Lienard equations. By using Riccati technique, present some new oscillation results for equation. Illustrative examples are also given.