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All Journal Media Statistika Jurnal Ilmu Dasar Statistika CAUCHY: Jurnal Matematika Murni dan Aplikasi Jurnal Matematika & Sains Dharmakarya : Jurnal Aplikasi Ipteks Untuk Masyarakat Jurnal Teknik Industri: Jurnal Keilmuan dan Aplikasi Teknik Industri BAREKENG: Jurnal Ilmu Matematika dan Terapan Buletin Sumber Daya Geologi JTAM (Jurnal Teori dan Aplikasi Matematika) International Journal of Supply Chain Management Jambura Journal of Mathematics MAJAMATH: Jurnal Matematika dan Pendidikan Matematika Eksakta : Berkala Ilmiah Bidang MIPA International Journal of Global Operations Research International Journal of Quantitative Research and Modeling Industrial Research Workshop and National Seminar Jurnal Matematika Integratif In Search (Informatic, Science, Entrepreneur, Applied Art, Research, Humanism)
Endang Rusyaman
Departemen Matematika FMIPA Universitas Padjadjaran
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Kajian Perbandingan Turunan dan Integral Fraksional Riemann–Liouville, Caputo, dan Konformabel serta Aplikasinya Gunawan, Gani; Rusyaman, Endang; Sukono, Sukono; Carnia, Ema
Jurnal Matematika Integratif Vol 21, No 2: Oktober 2025
Publisher : Department of Matematics, Universitas Padjadjaran

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24198/jmi.v21.n2.68569.245-258

Abstract

Penelitian ini membandingkan tiga definisi utama turunan fraksional, yaitu Riemann–Liouville, Caputo, dan Konformabel, dalam pemodelan sistem dinamis yang melibatkan efek memori. Populasi kajian adalah operator turunan fraksional sebagai generalisasi kalkulus klasik berorde bukan bilangan bulat. Intervensi dilakukan melalui pendekatan analitik dan numerik, meliputi kajian sifat dasar operator, analisis eksistensi solusi, dan penerapannya pada persamaan diferensial fraksional linear sederhana. Perbandingan difokuskan pada kesesuaian terhadap sifat kalkulus klasik, bentuk solusi, dan karakter peluruhan sistem. Hasil menunjukkan bahwa turunan Riemann–Liouville dan Caputo menghasilkan solusi berbasis fungsi Mittag–Leffler dengan peluruhan lambat, sehingga sesuai untuk fenomena dengan memori jangka panjang, sedangkan turunan Konformabel menghasilkan solusi eksponensial dengan peluruhan lebih cepat dan efisiensi komputasi yang lebih tinggi. Rentang waktu kajian difokuskan pada orde fraksional α = 1/2 sebagai representasi perilaku umum ketiga definisi. Temuan ini menegaskan bahwa pemilihan operator fraksional harus disesuaikan dengan tujuan analisis dan konteks aplikasi, khususnya antara kebutuhan representasi efek memori dan efisiensi analitik
Optimization Model for Agricultural Processed Products Supply Chain Problem in Bandung During Covid-19 Period Zahrani Irmansyah, Athaya; Chaerani, Diah; Rusyaman, Endang
Jurnal Teknik Industri: Jurnal Keilmuan dan Aplikasi Teknik Industri Vol. 23 No. 2 (2021): Dec 2021
Publisher : Institute of Research and Community Outreach - Petra Christian University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.9744/jti.23.2.83-92

Abstract

Coronavirus disease, commonly called Covid-19, is a virus that causes a pandemic in almost every country globally. One of those countries is Indonesia, which has many big cities with dense populations. This study was conducted in Bandung, the capital of West Java, Indonesia. As a result of the Covid-19 pandemic, Bandung was seriously affected in various ways. One was the disruption in the distribution of the agricultural processed products supply chain, which changes producers and consumers' behaviour. Furthermore, as an effort by the government to break the spread of the virus, health protocols limit the distribution. The purpose of this study is to design an optimization model for the supply chain problem of agricultural processed products in Bandung during the Covid-19 period with the objective function is maximizing product suppliers so that all demands on consumers are fulfilled. The use of Local Food Hub (LFH) is a help in this research as a distribution centre point between the producer zone and the consumer zone. Finally, numerical experiments were carried out in two scenarios, namely Large-scale Social Distancing (LSD) and Partial Social Distancing (PSD). It was found that the optimal distribution solution was obtained if the PSD scenario was applied.
Co-Authors Abiodun Ezekiel Owoyemi Achmad, Fariz Alit Kartiwa Alit Kartiwa Amelia Anjang Risara Vilinea Annisa Nur Falah, Annisa Nur Asep Kuswandi Supriatna Ashgi, Rizky Azis, Chusnul Chatimah Azril Balqis, Viona P Betty Subartini Budi Nurani Ruchjana Deny I. Rakhmatullah Devi Munandar, Devi Diah Chaerani Dian Nuryani Diana Ekanurnia Dihna, Elza Rahma Dody Jesaya Sinaga Eddy Djauhari Edi Kurniadi Elis Hertini Ema Carnia Endang Soeryana Hasbullah Erick Paulus Fikri, Faiqul Firdaniza Firdaniza Gani Gunawan Ghiffari, Alif Muhamad Ira Sumiati Irmansyah, Athaya Zahrani Ismail Bin Mohd Johar, Dwindi Agryanti Julita Nahar Jumadil Saputra Kankan Parmikanti Kusuma, Dianne Amor Melda Noereast Talytha Muhammad Deni Johansyah Muslihin, Khoirunnisa R A Mustafa Mamat Nabila Hasna Naufal Badruzzaman Naufal Badruzzaman Nirbhaya Salsabila NUR HAMID Nursanti Anggriani Nurul Gusriani, Nurul Pipih Aprianita Robbi, Muttaqien Rodhiya Rustam Effendy Siregar Sukono Sukono Sunarta Susanto Tomy Perdana Wildan Rachman Gumelar Yuningsih, Siti Hadiaty Yuyun Hidayat Zahrani Irmansyah, Athaya