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Ditemukan 6961 dokumen yang sesuai dengan query
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Ambarita, Donny Perdana
"Integral fraksional Katugampola merupakan integral fraksional yang menggeneralisasi integral fraksional Riemann-Louville dan integral fraksional Hadamard menjadi suatu bentuk baru. Dalam integral fraksional Katugampola tersebut terdapat variabel p yang bernilai riil dan tidak sama dengan -1. Integral fraksional Riemann-Louiville akan diperoleh untuk p=0, dan selain itu, integral fraksional Hadamard dapat diperoleh untuk p->-1. Sifat dari integral fraksional Katugampola, yaitu terbatas pada ruang X c,p dan sifat semigrup juga akan diberikan.

Katugampola fractional integral is a fractional integral which generalizes Riemann Louville fractional integral and Hadamard fractional integral to be a new form. In Katugampola fractional integral itself there is a variable p with real value and not equal to 1. Riemann Louville fractional integral can be acquired for p 0, and on the other hand, Hadamard fractional integral can also be acquired for p 1. Condition that Katugampola fractional integral is bounded on X c,p space, and semigroup property are also given.
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Lengkap +
Depok: Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Indonesia, 2018
S-Pdf
UI - Skripsi Membership  Universitas Indonesia Library
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Sibarani, Maslen
"ABSTRAK
Integral Fuzzy adalah fungsional bersifat monoton didefinisikan di dalam ruang terukur berdasarkan ukuran Fuzzy pada himpunan terukur. Tugas akhir ini bertujuan meperkenalkan Integral Fuzzy dan sifat-sifat Iintegral Fuzzy. Integral Fuzzy dibentuk dan dikembangkan didasarkan pada operasi-operasi himpunan Fuzzy yaitu operasi: Jika h : X [0,1]. Integral fuzzy h pada A X di dalam ruang terukur terdefinisi apabila h adalah fungsi terukur. Maka selain membahas Integral Fuzzy, juga dibahas ruang terukur, himpunan Fuzzy, ukuran Fuzzy, himpunan terukur, fungsi terukur dan sifat-sifat fungsi terukur. Pada akhirnya dibahas perbandingan Integral Fuzzy dengan Integral Lebesque."
Lengkap +
Depok: Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Indonesia, 1986
S-Pdf
UI - Skripsi Membership  Universitas Indonesia Library
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Jacobs, Konrad
New York: Academic Press, 1978
515.42 JAC m
Buku Teks SO  Universitas Indonesia Library
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Khandekar, D.C.
Singapore: World Scientific, 1993
530.12 KHA p
Buku Teks  Universitas Indonesia Library
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Mikusinski, Jan
New York: John Wiley & Sons, 1993
515 MIK i
Buku Teks  Universitas Indonesia Library
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Yulian Ekawati
"Pada skripsi ini dibahas pembuktian Teorema Perubahan Variabel untuk menyelesaikan integral lipat tiga. Fungsi integrannya adalah yang kontinu dan mempunyai support yang kompak. Dengan menggunakan substitusi fungsi ( ), dimana adalah fungsi yang terturunkan sekali dan ( ) , untuk ‖ ‖ , diperoleh ∫ ( ( ))| ( )| ∫ ( ) . Pada setiap tahap pengintegralan digunakan Teorema Dasar Kalkulus dan suatu fungsi yang didefinisikan sebagai anti turunan dari fungsi terhadap satu peubah yaitu ( ) ( ) ∫ ( ) . Proses ini dilakukan berulang kali sebanyak jumlah variabel dari fungsi integrannya.

In this skripsi, the proof of The Theorem of Change of Variables in triple integrals is explored. The integrand is a continuous function with a compact support. With a substitution ( ), where is once differentiable, ( ) , for ‖ ‖ , we prove ∫ ( ( ))| ( )| ∫ ( ) . At every stage of integration, we use Fundamental Theorem of Calculus and a function which is defined as an antiderivative of with respect to one variable, that is ( ) ( ) ∫ ( ) . This process is carried out repeatedly as many as the number of the variables of the integrand.
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Lengkap +
Depok: Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Indonesia, 2013
S53850
UI - Skripsi Membership  Universitas Indonesia Library
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Milici, Constantin
"This book introduces a series of problems and methods insufficiently discussed in the field of Fractional Calculus – a major, emerging tool relevant to all areas of scientific inquiry. The authors present examples based on symbolic computation, written in Maple and Mathematica, and address both mathematical and computational areas in the context of mathematical modeling and the generalization of classical integer-order methods. Distinct from most books, the present volume fills the gap between mathematics and computer fields, and the transition from integer- to fractional-order methods."
Switzerland: Springer Cham, 2019
e20502873
eBooks  Universitas Indonesia Library
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Denneberg, Dieter
Dordrecht: Kluwer Academic, 1994
515.42 DEN n
Buku Teks SO  Universitas Indonesia Library
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Oliveira, Edmundo Capelas de
"This book contains a brief historical introduction and state of the art in fractional calculus. The author introduces some of the so-called special functions, in particular, those which will be directly involved in calculations. The concepts of fractional integral and fractional derivative are also presented. Each chapter, except for the first one, contains a list of exercises containing suggestions for solving them and at last the resolution itself. At the end of those chapters there is a list of complementary exercises. The last chapter presents several applications of fractional calculus."
Switzerland: Springer Cham, 2019
e20503048
eBooks  Universitas Indonesia Library
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Annaby, Mahmoud H.
"Introduces a rigorous investigation of q-difference operators in standard and fractional settings. This monograph also discusses some integral equations of Volterra and Abel type, as introductory material for the study of fractional q-calculi."
Berlin: [Springer, ], 2012
e20419842
eBooks  Universitas Indonesia Library
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