{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,5]],"date-time":"2026-03-05T09:10:30Z","timestamp":1772701830724,"version":"3.50.1"},"reference-count":23,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2017,11,11]],"date-time":"2017-11-11T00:00:00Z","timestamp":1510358400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"name":"FCT","award":["UID\/MAT\/04106\/2013"],"award-info":[{"award-number":["UID\/MAT\/04106\/2013"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Bull. Malays. Math. Sci. Soc."],"published-print":{"date-parts":[[2019,7]]},"DOI":"10.1007\/s40840-017-0569-6","type":"journal-article","created":{"date-parts":[[2017,11,11]],"date-time":"2017-11-11T00:39:45Z","timestamp":1510360785000},"page":"1687-1697","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":53,"title":["Fractional Differential Equations with Mixed Boundary Conditions"],"prefix":"10.1007","volume":"42","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1305-2411","authenticated-orcid":false,"given":"Ricardo","family":"Almeida","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2017,11,11]]},"reference":[{"key":"569_CR1","doi-asserted-by":"publisher","first-page":"973","DOI":"10.1007\/s10440-008-9356-6","volume":"109","author":"RP Agarwal","year":"2010","unstructured":"Agarwal, R.P., Benchohra, M., Hamani, S.: A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions. Acta Appl. Math. 109, 973\u20131033 (2010)","journal-title":"Acta Appl. Math."},{"key":"569_CR2","doi-asserted-by":"publisher","first-page":"290","DOI":"10.1515\/fca-2016-0017","volume":"19","author":"R Agarwal","year":"2016","unstructured":"Agarwal, R., Hristova, S., O\u2019Regan, D.: A survey of Lyapunov functions, stability and impulsive Caputo fractional differential equations. Fract. Calc. Appl. Anal. 19, 290\u2013318 (2016)","journal-title":"Fract. Calc. Appl. Anal."},{"key":"569_CR3","doi-asserted-by":"publisher","first-page":"1343","DOI":"10.1007\/s40840-015-0233-y","volume":"39","author":"B Ahmad","year":"2016","unstructured":"Ahmad, B., Ntouyas, S.K.: A new kind of nonlocal-integral fractional boundary value problems. Bull. Malays. Math. Sci. Soc. 39, 1343\u20131361 (2016)","journal-title":"Bull. Malays. Math. Sci. Soc."},{"key":"569_CR4","unstructured":"Almeida, R., Malinowska, A. B., Monteiro, M. T. T.: Fractional differential equations with a Caputo derivative with respect to a kernel function and their applications. Math. Meth. Appl. Sci. (in press)"},{"key":"569_CR5","doi-asserted-by":"publisher","first-page":"460","DOI":"10.1016\/j.cnsns.2016.09.006","volume":"44","author":"R Almeida","year":"2017","unstructured":"Almeida, R.: A Caputo fractional derivative of a function with respect to another function. Commun. Nonlinear Sci. Numer. Simul. 44, 460\u2013481 (2017)","journal-title":"Commun. Nonlinear Sci. Numer. Simul."},{"key":"569_CR6","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/S0377-0427(98)00051-X","volume":"95","author":"B Al-Saqabi","year":"1998","unstructured":"Al-Saqabi, B., Kiryakova, V.S.: Explicit solutions of fractional integral and differential equations involving Erdelyi\u2013Kober operators. Appl. Math. Comput 95, 1\u201313 (1998)","journal-title":"Appl. Math. Comput"},{"key":"569_CR7","doi-asserted-by":"publisher","first-page":"1723","DOI":"10.1007\/s40840-014-0060-6","volume":"38","author":"M Didgar","year":"2015","unstructured":"Didgar, M., Ahmadi, N.: An efficient method for solving systems of linear ordinary and fractional differential equations. Bull. Malays. Math. Sci. Soc. 38, 1723\u20131740 (2015)","journal-title":"Bull. Malays. Math. Sci. Soc."},{"key":"569_CR8","doi-asserted-by":"publisher","first-page":"229","DOI":"10.1006\/jmaa.2000.7194","volume":"265","author":"K Diethelm","year":"2002","unstructured":"Diethelm, K., Ford, N.J.: Analysis of fractional differential equations. J. Math. Anal. Appl. 265, 229\u2013248 (2002)","journal-title":"J. Math. Anal. Appl."},{"key":"569_CR9","volume-title":"Some Applications of Fractional Calculus to Polymer Science. Advances in Chemical Physics","author":"JF Douglas","year":"2007","unstructured":"Douglas, J.F.: Some Applications of Fractional Calculus to Polymer Science. Advances in Chemical Physics. Wiley, Hoboken (2007)"},{"issue":"4","key":"569_CR10","doi-asserted-by":"publisher","first-page":"554","DOI":"10.1109\/8.489308","volume":"44","author":"N Engheta","year":"1996","unstructured":"Engheta, N.: On fractional calculus and fractional multipoles in electromagnetism. IEEE Trans. Antennas Propag. 44(4), 554\u2013566 (1996)","journal-title":"IEEE Trans. Antennas Propag."},{"key":"569_CR11","first-page":"34","volume":"88","author":"ZEA Fellah","year":"2002","unstructured":"Fellah, Z.E.A., Depollier, C.: Application of fractional calculus to the sound waves propagation in rigid porous materials: validation via ultrasonic measurement. Acta Acust. 88, 34\u201339 (2002)","journal-title":"Acta Acust."},{"key":"569_CR12","doi-asserted-by":"crossref","unstructured":"Kempfle, S., Sch\u00e4fer, I., Beyer, H.: Fractional differential equations and viscoelastic damping. In: Porto, J.L. Martins de Carvalho, F.A., Fontes, C. C., de Pinho M.D.R. (eds.) Proceedings of the European Control Conference 2001, pp. 1744\u20131751 (2001)","DOI":"10.23919\/ECC.2001.7076172"},{"key":"569_CR13","unstructured":"Kilbas, A. A., Srivastava, H. M., Trujillo, J. J.: Theory and Applications of Fractional Differential Equations. North-Holland Mathematics Studies, vol. 204. Elsevier Science B.V., Amsterdam (2006)"},{"key":"569_CR14","doi-asserted-by":"publisher","first-page":"2677","DOI":"10.1016\/j.na.2007.08.042","volume":"69","author":"V Lakshmikantham","year":"2008","unstructured":"Lakshmikantham, V., Vatsala, A.S.: Basic theory of fractional differential equations. Nonlinear Anal. 69, 2677\u20132682 (2008)","journal-title":"Nonlinear Anal."},{"key":"569_CR15","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1186\/s13662-014-0331-4","volume":"2015","author":"M Li","year":"2015","unstructured":"Li, M., Wang, J.: Existence of local and global solutions for Hadamard fractional differential equations. Electron. J. Differ. Equ. 2015, 1\u20138 (2015)","journal-title":"Electron. J. Differ. Equ."},{"issue":"54","key":"569_CR16","doi-asserted-by":"publisher","first-page":"3413","DOI":"10.1155\/S0161171203301486","volume":"2003","author":"D Lokenath","year":"2003","unstructured":"Lokenath, D.: Recent applications of fractional calculus to science and engineering. Int. J. Math. Math. Sci. 2003(54), 3413\u20133442 (2003)","journal-title":"Int. J. Math. Math. Sci."},{"key":"569_CR17","volume-title":"Advanced Methods in the Fractional Calculus of Variations. Springer Briefs in Applied Sciences and Technology","author":"AB Malinowska","year":"2015","unstructured":"Malinowska, A.B., Odzijewicz, T., Torres, D.F.M.: Advanced Methods in the Fractional Calculus of Variations. Springer Briefs in Applied Sciences and Technology. Springer, Cham (2015)"},{"key":"569_CR18","doi-asserted-by":"publisher","first-page":"463","DOI":"10.1515\/fca-2016-0024","volume":"19","author":"D Qarout","year":"2016","unstructured":"Qarout, D., Ahmad, B., Alsaedi, A.: Existence theorems for semi-linear Caputo fractional differential equations with nonlocal discrete and integral boundary conditions. Fract. Calc. Appl. Anal. 19, 463\u2013479 (2016)","journal-title":"Fract. Calc. Appl. Anal."},{"key":"569_CR19","volume-title":"Fractional Integrals and Derivatives, translated from the 1987 Russian original","author":"SG Samko","year":"1993","unstructured":"Samko, S.G., Kilbas, A.A., Marichev, O.I.: Fractional Integrals and Derivatives, translated from the 1987 Russian original. Gordon and Breach, Yverdon (1993)"},{"key":"569_CR20","doi-asserted-by":"publisher","first-page":"3129","DOI":"10.1016\/j.cnsns.2011.12.002","volume":"17","author":"J Wang","year":"2012","unstructured":"Wang, J., Dong, X., Zhou, Y.: Analysis of nonlinear integral equations with Erdelyi-Kober fractional operator. Commun. Nonlinear Sci. Numer. Simul. 17, 3129\u20133139 (2012)","journal-title":"Commun. Nonlinear Sci. Numer. Simul."},{"key":"569_CR21","first-page":"113","volume":"41","author":"J Wang","year":"2013","unstructured":"Wang, J., Zhou, Y., Medved, M.: Existence and stability of fractional differential equations with Hadamard derivative. Topol. Methods Nonlinear Anal. 41, 113\u2013133 (2013)","journal-title":"Topol. Methods Nonlinear Anal."},{"key":"569_CR22","doi-asserted-by":"publisher","first-page":"571","DOI":"10.1007\/s40840-015-0126-0","volume":"39","author":"Y Xu","year":"2016","unstructured":"Xu, Y.: Fractional boundary value problems with integral and anti-periodic boundary conditions. Bull. Malays. Math. Sci. Soc. 39, 571\u2013587 (2016)","journal-title":"Bull. Malays. Math. Sci. Soc."},{"key":"569_CR23","doi-asserted-by":"publisher","unstructured":"Zhang, X., Zhong, Q.: Multiple positive solutions for nonlocal boundary value problems of singular fractional differential equations. Bound. Value Probl. 21 Article Number 65 (2016). \n                    https:\/\/doi.org\/10.1186\/s13661-016-0572-0","DOI":"10.1186\/s13661-016-0572-0"}],"container-title":["Bulletin of the Malaysian Mathematical Sciences Society"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s40840-017-0569-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s40840-017-0569-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s40840-017-0569-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,17]],"date-time":"2019-06-17T12:08:32Z","timestamp":1560773312000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s40840-017-0569-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,11,11]]},"references-count":23,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2019,7]]}},"alternative-id":["569"],"URL":"https:\/\/doi.org\/10.1007\/s40840-017-0569-6","relation":{},"ISSN":["0126-6705","2180-4206"],"issn-type":[{"value":"0126-6705","type":"print"},{"value":"2180-4206","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,11,11]]},"assertion":[{"value":"28 April 2017","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"24 October 2017","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"11 November 2017","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}