Journal of Fundamental Mathematics and Applications (JFMA)
Vol 7, No 1 (2024)

CONSTRUCTION OF FUNDAMENTAL THEOREMS OF FRACTIONAL CALCULUS

Ramdhania, Khairunnisa Fadhilla (Unknown)
Sari, Rafika (Unknown)
Khalida, Rakhmi (Unknown)
Pratama, Aldira Ryan (Unknown)
Lestari, Nur’aini Puji (Unknown)

Article Info

Publish Date
28 Jun 2024

Abstract

This paper discusses the theory of derivatives and integrals in the form of fractions with a particular order initiated by Lioville. Specifically, regarding the correlation between fractional derivatives and integrals, by examining definitions, determining the kernel function, and applying them to several examples, so a general formula will be obtained regarding the relationship between the two. This formula is the product of the fractional derivative of an order of a polynomial function of m-degree which is equal to the (n+1) th derivative of the related order fractional integral of a polynomial function of -degree that the truth is proved by using Mathematical Induction.

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Journal Info
Journal of Fundamental Mathematics and Applications (JFMA)
Website

Abbrev

jfma

Publisher

Universitas Diponegoro

Subject

Decision Sciences, Operations Research & Management

Description

Journal of Fundamental Mathematics and Applications (JFMA) is an Indonesian journal published by the Department of Mathematics, Diponegoro University, Semarang, Indonesia. JFMA has been published regularly in 2 scheduled times (June and November) every year. JFMA is established to highlight the ...