{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,15]],"date-time":"2025-10-15T17:36:39Z","timestamp":1760549799859},"reference-count":28,"publisher":"Springer Science and Business Media LLC","issue":"10","license":[{"start":{"date-parts":[[2015,7,7]],"date-time":"2015-07-07T00:00:00Z","timestamp":1436227200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Soft Comput"],"published-print":{"date-parts":[[2016,10]]},"DOI":"10.1007\/s00500-015-1743-0","type":"journal-article","created":{"date-parts":[[2015,7,6]],"date-time":"2015-07-06T06:19:47Z","timestamp":1436163587000},"page":"4085-4098","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["A numerical method for solving first-order fully fuzzy differential equation under strongly generalized H-differentiability"],"prefix":"10.1007","volume":"20","author":[{"given":"P.","family":"Darabi","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S.","family":"Moloudzadeh","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"H.","family":"Khandani","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2015,7,7]]},"reference":[{"key":"1743_CR1","doi-asserted-by":"crossref","first-page":"113","DOI":"10.2478\/cmam-2002-0006","volume":"2","author":"S Abbasbandy","year":"2002","unstructured":"Abbasbandy S, Allahviranloo T (2002) Numerical solutions of fuzzy differential equations by taylor method. Comput Methods Appl Math 2:113\u2013124","journal-title":"Comput Methods Appl Math"},{"key":"1743_CR2","doi-asserted-by":"crossref","first-page":"1633","DOI":"10.1016\/j.camwa.2004.03.009","volume":"48","author":"S Abbasbandy","year":"2004","unstructured":"Abbasbandy S, Allahviranloo T, L\u00f3pez-Pouso \u00d3scar, Nieto JJ (2004) Numerical methods for fuzzy differential inclusions. Comput Math Appl 48:1633\u20131641","journal-title":"Comput Math Appl"},{"key":"1743_CR3","doi-asserted-by":"crossref","first-page":"1633","DOI":"10.1016\/j.ins.2006.09.015","volume":"177","author":"T Allahviranloo","year":"2007","unstructured":"Allahviranloo T, Ahmady N, Ahmady E (2007) Numerical solution of fuzzy differential equations by predictorcorrector method. Inf Sci 177:1633\u20131647","journal-title":"Inf Sci"},{"key":"1743_CR4","doi-asserted-by":"crossref","first-page":"1207","DOI":"10.1016\/j.ins.2008.11.004","volume":"179","author":"T Allahviranloo","year":"2009","unstructured":"Allahviranloo T, Kiani NA, Barkhordari M (2009) Toward the exiistence and uniqueness of solution of second-order fuzzy differential equations. Inf Sci 179:1207\u20131215","journal-title":"Inf Sci"},{"key":"1743_CR5","first-page":"513","volume":"14","author":"A Ban","year":"2006","unstructured":"Ban A, Bede B (2006) Properties of the cross product of fuzzy numbers. J Fuzzy Math 14:513\u2013531","journal-title":"J Fuzzy Math"},{"key":"1743_CR6","doi-asserted-by":"crossref","first-page":"1648","DOI":"10.1016\/j.ins.2006.08.021","volume":"177","author":"B Bede","year":"2007","unstructured":"Bede B, Rudas IJ, Bencsik AL (2007) First order linear fuzzy differential equations under generalized differentiability. Inf Sci 177:1648\u20131662","journal-title":"Inf Sci"},{"key":"1743_CR7","doi-asserted-by":"crossref","first-page":"581","DOI":"10.1016\/j.fss.2004.08.001","volume":"151","author":"B Bede","year":"2005","unstructured":"Bede B, Gal SG (2005) Generalizations of differentiablity of fuzzy number valued function with application to fuzy differential equations. Fuzzy Sets Syst 151:581\u2013599","journal-title":"Fuzzy Sets Syst"},{"key":"1743_CR8","first-page":"123","volume":"3","author":"B Bede","year":"2006","unstructured":"Bede B, Fodor J (2006) Product type operations between fuzzy numbers and their applications in geology. Acta Polytech Hung 3:123\u2013139","journal-title":"Acta Polytech Hung"},{"key":"1743_CR9","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1016\/S0165-0114(98)00141-9","volume":"110","author":"JJ Buckley","year":"2000","unstructured":"Buckley JJ, Feuring T (2000) Fuzzy differential equations. Fuzzy Sets Syst 110:43\u201354","journal-title":"Fuzzy Sets Syst"},{"key":"1743_CR10","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1016\/S0165-0114(98)00323-6","volume":"105","author":"JJ Buckley","year":"1999","unstructured":"Buckley JJ, Feuring T (1999) Introduction to fuzzy partial differential equations. Fuzzy Sets Syst 105:241\u2013248","journal-title":"Fuzzy Sets Syst"},{"key":"1743_CR11","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1016\/S0020-0255(97)10064-0","volume":"108","author":"W Congxin","year":"1998","unstructured":"Congxin W, Shiji S (1998) Existence theorem to the Cauchy problem of fuzzy differential equations under compactness-type conditions. Inf Sci 108:123\u2013134","journal-title":"Inf Sci"},{"key":"1743_CR12","doi-asserted-by":"publisher","unstructured":"Dubois D, Prade H (1982) Towards fuzzy differential calculus: part 3, differentiation. Fuzzy Sets Syst 8:225\u2013233. doi: 10.1016\/S0165-0114(82)80001-8","DOI":"10.1016\/S0165-0114(82)80001-8"},{"key":"1743_CR13","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1016\/S0165-0114(98)00355-8","volume":"106","author":"M Friedman","year":"1999","unstructured":"Friedman M, Ming M, Kandel A (1999) Numerical solution of fuzzy differential and integral equations. Fuzzy Sets Syst 106:35\u201348","journal-title":"Fuzzy Sets Syst"},{"key":"1743_CR14","doi-asserted-by":"crossref","unstructured":"Gal SG (2000) Approximation theory in fuzzy setting. In: Anastassious GA (ed) Handbook of analytic-computational methods in applied mathematics. Chapman Hall $$CRC$$ C R C Press, New York, pp 617\u2013666","DOI":"10.1201\/9781420036053.ch13"},{"key":"1743_CR15","doi-asserted-by":"crossref","first-page":"587","DOI":"10.1016\/j.na.2005.05.020","volume":"63","author":"DN Georgiou","year":"2005","unstructured":"Georgiou DN, Nieto JJ, Rodriguez-Lopez R (2005) Initial value problems for higher-order fuzzy differential equations. Nonlinear Anal 63:587\u2013600","journal-title":"Nonlinear Anal"},{"key":"1743_CR16","doi-asserted-by":"crossref","first-page":"321","DOI":"10.1016\/0165-0114(89)90264-9","volume":"24","author":"O He","year":"1989","unstructured":"He O, Yi W (1989) On fuzzy differential equations. Fuzzy Sets Syst 24:321\u2013325","journal-title":"Fuzzy Sets Syst"},{"key":"1743_CR17","doi-asserted-by":"crossref","first-page":"436","DOI":"10.1016\/j.ins.2006.03.005","volume":"177","author":"LJ Jowers","year":"2007","unstructured":"Jowers LJ, Buckley JJ, Reilly KD (2007) Simulating continuous fuzzy systems. Inf Sci 177:436\u2013448","journal-title":"Inf Sci"},{"key":"1743_CR18","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1016\/0165-0114(87)90029-7","volume":"24","author":"O Kaleva","year":"1987","unstructured":"Kaleva O (1987) Fuzzy differential equations. Fuzzy Sets Syst 24:301\u2013317","journal-title":"Fuzzy Sets Syst"},{"key":"1743_CR19","doi-asserted-by":"crossref","first-page":"389","DOI":"10.1016\/0165-0114(90)90010-4","volume":"35","author":"O Kaleva","year":"1990","unstructured":"Kaleva O (1990) The Cauchy problem for fuzzy differential equations. Fuzzy Sets Syst 35:389\u2013396","journal-title":"Fuzzy Sets Syst"},{"key":"1743_CR20","unstructured":"Kandel A, Byatt WJ (1978) Fuzzy differential equations. In: Proceedings of the international conference on cybernetics and society, Tokyo, pp 1213\u20131216"},{"key":"1743_CR21","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1155\/2009\/395714","volume":"2009","author":"A Khastan","year":"2009","unstructured":"Khastan A, Bahrami F, Ivaz K (2009) New results on multiple solutions for Nth-order fuzzy differential under generalized differentiability. Boundary Value Probl 2009:1\u201313","journal-title":"Boundary Value Probl"},{"key":"1743_CR22","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1016\/0165-0114(91)90041-N","volume":"44","author":"P Kloeden","year":"1991","unstructured":"Kloeden P (1991) Remarks on Peano-like theorems for fuzzy differential equations. Fuzzy Sets Syst 44:161\u2013164","journal-title":"Fuzzy Sets Syst"},{"key":"1743_CR23","doi-asserted-by":"crossref","first-page":"133","DOI":"10.1016\/S0165-0114(97)00233-9","volume":"105","author":"M Ming","year":"1999","unstructured":"Ming M, Friedman M, Kandel A (1999) Fuzzy linear systems. Fuzzy Sets Syst 105:133\u2013138","journal-title":"Fuzzy Sets Syst"},{"issue":"9","key":"1743_CR24","doi-asserted-by":"crossref","first-page":"1725","DOI":"10.1007\/s00500-013-0986-x","volume":"17","author":"S Moloudzadeh","year":"2013","unstructured":"Moloudzadeh S, Allahviranloo T, Darabi P (2013) A new method for solving an arbitrary fully fuzzy linear system. Soft Comput 17(9):1725\u20131731","journal-title":"Soft Comput"},{"key":"1743_CR25","first-page":"700","volume":"3","author":"JJ Nieto","year":"2009","unstructured":"Nieto JJ, Khastan A, Ivaz K (2009) Numerical solution of fuzzy differential equations under generalized differentiability. Nonlinear Anal: Hybrid Syst 3:700\u2013707","journal-title":"Nonlinear Anal: Hybrid Syst"},{"key":"1743_CR26","doi-asserted-by":"crossref","first-page":"552","DOI":"10.1016\/0022-247X(83)90169-5","volume":"91","author":"ML Puri","year":"1983","unstructured":"Puri ML, Ralescu DA (1983) Differentials of fuzzy functions. J Math Anal Appl 91:552\u2013558","journal-title":"J Math Anal Appl"},{"key":"1743_CR27","doi-asserted-by":"crossref","first-page":"319","DOI":"10.1016\/0165-0114(87)90030-3","volume":"24","author":"S Seikkala","year":"1987","unstructured":"Seikkala S (1987) On the fuzzy initial value problem. Fuzzy Sets Syst 24:319\u2013330","journal-title":"Fuzzy Sets Syst"},{"key":"1743_CR28","doi-asserted-by":"crossref","first-page":"523","DOI":"10.1016\/S0165-0114(99)00057-3","volume":"120","author":"C Wu","year":"2001","unstructured":"Wu C, Gong Z (2001) On Henstock integral of fuzzy-number-valued functions I. Fuzzy Sets Syst 120:523\u2013532","journal-title":"Fuzzy Sets Syst"}],"container-title":["Soft Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-015-1743-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00500-015-1743-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-015-1743-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-015-1743-0","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,29]],"date-time":"2019-05-29T01:43:48Z","timestamp":1559094228000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00500-015-1743-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,7,7]]},"references-count":28,"journal-issue":{"issue":"10","published-print":{"date-parts":[[2016,10]]}},"alternative-id":["1743"],"URL":"https:\/\/doi.org\/10.1007\/s00500-015-1743-0","relation":{},"ISSN":["1432-7643","1433-7479"],"issn-type":[{"value":"1432-7643","type":"print"},{"value":"1433-7479","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,7,7]]}}}