Duc Phuong, NguyenSakar, Fethiye MügeEtemad, SinaRezapour, Shahram2021-04-212021-04-212020Duc Phuong, N., Sakar, F. M., Etemad, S., Rezapour, S. (2020). A novel fractional structure of a multi-order quantum multi-integro-differential problem. Advances in Difference Equations, 2020(1), 1-23.1687-18391687-1847https://advancesindifferenceequations.springeropen.com/track/pdf/10.1186/s13662-020-03092-z.pdfhttps://hdl.handle.net/11468/6790WOS:000593972500002In the present research manuscript, we formulate a new generalized structure of the nonlinear Caputo fractional quantum multi-integro-differential equation in which such a multi-order structure of quantum integrals is considered for the first time. In fact, in the light of this type of boundary value problem equipped with the multi-integro-differential setting, one can simply study different cases of the existing usual integro-differential problems in the literature. In this direction, we utilize well-known analytical techniques to derive desired criteria which guarantee the existence of solutions for the proposed multi-order quantum multi-integro-differential problem. Further, some numerical examples are considered to examine our theoretical and analytical findings using the proposed methods.eninfo:eu-repo/semantics/openAccessBoundary value problemMulti-integro-differential equationQuantum calculusThe Caputo quantum derivativeArticle20201123WOS:0005939725000022-s2.0-8509585967810.1186/s13662-020-03092-zQ2Q1