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Analysis Of Fractional Logistic Model Solution And Its Simulation On Human Development Index Data Of Cilacap District Agus Sugandha; Mashuri Mashuri; Danang Adi Pratama; Erni Supriyanti; Rima Anggraeni
Mathline : Jurnal Matematika dan Pendidikan Matematika Vol. 10 No. 3 (2025): Mathline : Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas Wiralodra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31943/mathline.v10i3.931

Abstract

This research discusses the formation of the Fractional Logistic model and its solution analysis, as well as its simulation to predict the Human Development Index in Cilacap Regency using the Fractional Logistic growth model. This study uses secondary data obtained from the official website of the Central Statistics Agency of Cilacap Regency. Based on these data, the growth of the Human Development Index in Cilacap Regency has increased relatively. This shows the Cilacap community's good quality of life. Based on the environmental carrying capacity value of 73, a relative growth rate per year of 0.14273269 is obtained. This model predicts the Human Development Index in Cilacap Regency in 2024 and 2025. The prediction results for 2024 of 71.47 and 2025 of 71.67 are achieved when the fractional derivative order is one. The best approximate solution is obtained when the fractional derivative order is 1, 0.95 0.90, 0.85, 0.80 and 0.75.
Peran Peningkatan Kemandirian Pangan Desa Majapura melalui Teknologi Tepat Guna KKN UNSOED 2025 Maura Firyaal Tsalsabila; Emir Hakim Wardana; Rahmania Nisa Zahira; Amaliyah Damayanti; Salsabillah Salsabillah; Saarah Nuur Najmii Faadiyah; Ns. Koernia Nanda Pratama; Rima Anggraeni
JUMAT PERTANIAN: Jurnal Pengabdian Masyarakat Vol. 7 No. 2 (2026): Agustus
Publisher : LPPM Universitas KH. A. Wahab Hasbullah

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32764/w0nh9692

Abstract

This community service program was carried out in Majapura Village with three main activities: the utilization of household yards, the development of a simple drip irrigation system, and the application of biofloc technology integrated with hydroponics for catfish farming. The program aimed to strengthen household food security, improve water use efficiency, and optimize limited land resources through appropriate technology. The results showed that 30 household yards were successfully transformed into productive spaces, 15 drip irrigation units were installed to support efficient watering, and 16 biofloc ponds were developed, functioning both for catfish cultivation and as a nutrient source for hydroponic plants. The success of this program was supported by active participation from village officials, PKK women’s groups, and local youth. Challenges encountered included limited production facilities, relatively high installation costs, and the community’s lack of technical knowledge. Therefore, continuous mentoring is needed to ensure program sustainability. Overall, this program contributed positively to improving household food independence, promoting efficient water management, and introducing environmentally friendly practices for sustainable community development.