![]() ![]() the model problems is very difficult to handle and to obtain its analytical solutions. The development of calculus and its applications in physics and engineering is most significant factor in the development of modern science. Fractional differential equations arise as a mathematical modeling of systems and processes in the field of physics, chemistry, biology, economics, control theory, signal and image processing, bio-physics, polymer rheology, aerodynamics etc. Even though these 2 subfields are generally different form each other, integration and differentiation are linked by the fundamental theorem of calculus. Either a concept, or at least semblances of it, has existed for centuries already. Integration is actually the reverse process of differentiation, concerned with the concept of the anti-derivative. In differential calculus, the derivative equation is used to describe the rate of change of a function whereas in integral calculus the area under a curve is studied. Many elements of calculus appeared in ancient Greece, then in China and the Middle East, and still later again in medieval Europe and in India. The second subfield is called integral calculus. Calculus, originally called infinitesimal calculus, is a mathematical discipline focused on limits, continuity, derivatives, integrals, and infinite series. In applications of differential equations, the functions represent physical quantities, and the derivatives, as we know, represent the rates of change of these qualities. Using the process of differentiation, the graph of a function can actually be computed, analyzed, and predicted. The way that a drug’s concentration over time is calculated is using calculus In fact, a drugs course over time can be calculated using a differential equation. In this we use the concept of function derivatives, in this we study about the behavior and rate on how different quantities change. The first subfield is called differential calculus. There are two different fields of calculus. Some examples of other well-known calculi are propositional calculus, calculus of variations, lambda calculus, and process calculusĬalculus is the study of change, with the basic focus being on More generally, calculus refers to any method or system of calculation guided by the symbolic manipulation of expressions. ![]() The word “calculus” comes from Latin and refers to a small stone used for counting. (Sun et al, 2018) In the field of medicine the biologist find calculus a vital field as to know the required rate of growth in the bacteria if other variables. Calculating stationary points also lends itself to the solving of problems that require some variable to be maximised or minimised. Calculus has been called “the calculus of infinitesimals”, or “infinitesimal calculus”. We have seen that differential calculus can be used to determine the stationary points of functions, in order to sketch their graphs. In this we study about the functions and limits, broadly called mathematical analysis. ![]() Calculus is a part of modern mathematics. ![]()
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