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Soft Computing
Erschienen in: Soft Computing 13/2023

11.05.2023 | Fuzzy systems and their mathematics

Applications of fuzzy conformable Laplace transforms for solving fuzzy conformable differential equations

verfasst von: Awais Younus, Muhammad Asif, Usama Atta, Tehmina Bashir, Thabet Abdeljawad

Erschienen in: Soft Computing | Ausgabe 13/2023

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Abstract

Conformable derivatives have deep connections with fractals and local fractional calculus. This paper presents a generalized concept of higher-order fuzzy conformable differentiability for fuzzy-valued functions and interprets higher-order fuzzy conformable differential equations using this concept. We propose the fuzzy conformable Laplace transform (FCLT) as an alternative to the fuzzy Sumudu integral transform, and fuzzy Shehu transform method; and establish some potential properties of FCLT, related to higher-order fuzzy conformable derivatives. The FCLT method is very convenient for solving fuzzy conformable linear higher-order differential equations. We illustrate linear second-order and linear fourth-order fuzzy conformable initial value problems having at most four and sixteen different solutions, respectively.
Vorheriger Artikel Optimized cascade chaotic fuzzy system (OCCFS) and its application to function approximation and chaotic systems identification
Nächster Artikel Mine safety evaluation method using correlation coefficients of consistency linguistic neutrosophic sets in a linguistic neutrosophic multivalued environment

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Literatur
Ahmad Latif, Farooq Muhammad, Abdullah Saleem (2016) Solving fourth order fuzzy differential equation by fuzzy Laplace transform. Annals of Fuzzy Mathematics and Informatics 12(3):449–468MathSciNetMATH
Armand Atefeh, Allahviranloo Tofigh, Gouyandeh Zienab (2018) Some fundamental results on fuzzy calculus. Iranian Journal of fuzzy Systems 15(3):27–46MathSciNetMATH
Atimad Harir, Melliani Said, Saadia Chadli Lalla (2020) “Fuzzy Generalized Conformable Fractional Derivative.” Advances in Fuzzy Systems 2020
Bede Barnabás (2008) Note on “Numerical solutions of fuzzy differential equations by predictor-corrector method’’. Information sciences 178(7):1917–1922MathSciNetCrossRefMATH
Bede Barnabás, Rudas Imre J, Bencsik Attila L (2007) First order linear fuzzy differential equations under generalized differentiability. Information sciences 177(7):1648–1662MathSciNetCrossRefMATH
Elhassan ElJaoui, Melliani Said, Saadia Chadli L (2015) “Solving second-order fuzzy differential equations by the fuzzy Laplace transform method.” Advances in Difference Equations 2015, no. 1: 1-14
Eroğlu İskender, Avcı BBD, Özdemir N (2017) “Optimal Control Problem for a Conformable Fractional Heat Conduction Equation.” Acta Physica Polonica A 132, no. 3: 658-662
Ghaffari M, Allahviranloo T, Abbasbandy S, Azhini M (2021) “(2004-5828) On the fuzzy solutions of time-fractional problems.” Iranian Journal of Fuzzy Systems
Harir A, Melliani S, Chadli LS (2021) Analytic solution method for fractional fuzzy conformable Laplace transforms. SeMA Journal 78(3):401–414MathSciNetCrossRefMATH
Hassan Eltayeb, Mesloub Said, Abdalla Yahya T, Kılıçman Adem (2019) “A Note on Double conformable Laplace transform Method and Singular One Dimensional conformable Pseudohyperbolic Equations. ” Mathematics 7, no. 10 : 949
Khastan A, Bahrami F, Ivaz K (2009) New results on multiple solutions for nth-order fuzzy differential equations under generalized differentiability. Boundary value problems 2009:1–13CrossRefMATH
Latif Ahmad, Farooq Muhammad, Abdullah Saleem (2014) “Solving nth order fuzzy differential equation by fuzzy Laplace transform.” arXiv:​1403.​0242
Mohammed Al-Smadi (2019) “Numerical Simulation of Conformable Fuzzy Differential Equations.” In The International Conference on Mathematical and Related Sciences, pp. 108-122. Springer, Cham
Muhammad Akram, Ihsan Tayyaba, Allahviranloo Tofigh, Ali Al-Shamiri Mohammed M (2022) “Analysis on determining the solution of fourth-order fuzzy initial value problem with Laplace operator.” Math Biosci Eng 19, no. 12 : 11868-11902
Omar Abu Arqub, Al-Smadi Mohammed (2020) “fuzzy conformable fractional differential equations: Novel extended approach and new numerical solutions. ” Soft Computing : 1-22
Ortigueira Manuel D, Tenreiro Machado JA (2015) “What is a fractional derivative?.” Journal of computational Physics 293 : 4-13
Özkan Ozan, Kurt Ali (2018) On conformable double Laplace transform. Optical and Quantum Electronics 50(2):103CrossRef
Roshdi Khalil, Al Horani Mohammed, Yousef Abdelrahman, Sababheh Mohammad (2014) “A new definition of fractional derivative. ” Journal of Computational, and Applied Mathematics 264 : 65-70
Salahshour Soheil, Allahviranloo Tofigh (2013) Applications of fuzzy Laplace transforms. Soft computing 17(1):145–158CrossRefMATH
Silva Fernando S, Moreira Davidson M, Moret Marcelo A (2018) Conformable Laplace transform of fractional differential equations. Axioms 7(3):55CrossRefMATH
Sindu Devi S, Ganesan K (2019) “Application of linear fuzzy differential equation in day to day life.” In AIP Conference Proceedings, vol. 2112, no. 1, p. 020169. AIP Publishing LLC
Tofigh Allahviranloo, Barkhordari Ahmadi M (2010) “fuzzy Laplace transforms. ” Soft Computing 14, no. 3: 235
Xiao-Jun Yang, Baleanu Dumitru, Srivastava Hari M, Tenreiro Machado JA (2013) “On local fractional continuous wavelet transform.” Abstract and Applied Analysis, vol. 2013. Hindawi
Xiao-Jun Yang, Baleanu Dumitru, Srivastava HM (2022) “Advanced analysis of local fractional calculus applied to the Rice theory in fractal fracture mechanics.” in Methods of Mathematical Modelling and Computation for Complex Systems, pp. 105-133. Springer, Cham
Younus Awais, Asif Muhammad, Atta Usama, Bashir Tehmina, Abdeljawad Thabet (2021) Some fundamental results on fuzzy conformable differential calculus. Journal of Fractional Calculus and Nonlinear Systems 2(2):31–61CrossRef
Metadaten
Titel
Applications of fuzzy conformable Laplace transforms for solving fuzzy conformable differential equations
verfasst von
Awais Younus
Muhammad Asif
Usama Atta
Tehmina Bashir
Thabet Abdeljawad
Publikationsdatum
11.05.2023
Verlag
Springer Berlin Heidelberg
Erschienen in
Soft Computing / Ausgabe 13/2023
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-023-08181-1

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