The phrase "applications in widespread fields of science" is correct and usable in written English.
You can use it when discussing the various uses or implementations of a concept, technology, or method across different scientific disciplines.
Example: "The new technology has numerous applications in widespread fields of science, including biology, chemistry, and physics."
Alternatives: "uses across various scientific domains" or "applications in diverse areas of science."
Fractional calculus has gained considerable popularity and importance during the past three decades mainly because of its demonstrated applications in numerous seemingly diverse and widespread fields of science and engineering.
On the other hand, the fractional differential equation has gained more attention due to its demonstrated applications in numerous seemingly diverse and widespread fields of science and engineering.
The subject of fractional calculus has gained considerable popularity and importance during the past three decades or so, mainly due to its applications in numerous seemingly diverse and widespread fields of science and engineering.
The subject of fractional calculus (that is, calculus of integrals and derivatives of any arbitrary real or complex order) has gained considerable popularity and importance during the past three decades or so, due mainly to its demonstrated applications in numerous seemingly diverse and widespread fields of science and engineering.
Fractional differential equations are generalizations of classical differential equations of integer order and have gained considerable popularity and importance during the past three decades or so, due mainly to their demonstrated applications in numerous seemingly diverse and widespread fields of science and engineering.
On the other hand, fractional differential equations can better describe many phenomena than ordinary differential equations in many diverse and widespread fields of science and engineering.
During the last two decades, due to its widespread applications in different fields of science and engineering, fractional calculus has attracted the attention of many researchers [1 6].
These methods have found a variety of applications in the fields of science and engineering.
