TY - JOUR
TI - On generalized local fractal calculus associate with Gauge integral and applications
AU - Kalita Hemanta
AU - Golmankhanehand Alireza K
AU - Hazarika Bipan
JN - Thermal Science
PY - 2025
VL - 29
IS - 1
SP - 691
EP - 711
PT - Article
AB - In this work, a new integral so called *F α-integral with respect to local fractal derivatives are introduced. Several properties of *F α-integrals are discussed. Fundamental theorem for *F α-integrable functions is also introduced. A relationship of F α and *F α integral is shown. Finally, as an application we solve fractal differential equation D αF[S αF (x)] = f[t, S αF (x)] with S αF(τ) = ξ in sense of *F α-integral.