Applications of fractional calculus in solving Abel-type integral equations: Surface-volume reaction problem
作者： Udita N. Katugampola , Ryan M. Evans , David A. Edwards
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摘要: In this paper we consider a class of partial integro-differential equations fractional order, motivated by an equation which arises as result modeling surface-volume reactions in optical biosensors. We solve these employing techniques from calculus; several examples are discussed. Furthermore, for the first time, encounter order derivative other than $\frac{1}{2}$ applied problem. Hence, explore applicability calculus real-world applications, further strengthening true nature calculus.
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