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It is concluded that the TSADM provides exact solution of the fractional integro-differential equations in one iteration. At the same time, the other existing methods furnish an approximate solution and require lots of computation to solve the problem applying discretization\/approximation on fractional operators.<\/jats:p>","DOI":"10.1142\/s1793962320500452","type":"journal-article","created":{"date-parts":[[2020,6,30]],"date-time":"2020-06-30T15:02:00Z","timestamp":1593529320000},"page":"2050045","source":"Crossref","is-referenced-by-count":22,"title":["An analytical solution with existence and uniqueness conditions for fractional integro-differential equations"],"prefix":"10.1142","volume":"11","author":[{"given":"Pratibha","family":"Verma","sequence":"first","affiliation":[{"name":"Department of Mathematics, Motilal Nehru National Institute of Technology, Allahabad, Prayagraj-211004, Uttar Pradesh, India"}]},{"given":"Manoj","family":"Kumar","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Motilal Nehru National Institute of Technology, Allahabad, Prayagraj-211004, Uttar Pradesh, India"}]}],"member":"219","published-online":{"date-parts":[[2020,8,17]]},"reference":[{"key":"S1793962320500452BIB001","doi-asserted-by":"crossref","first-page":"18","DOI":"10.1186\/1687-1847-2012-18","volume":"2012","author":"Al-Mdallal Q. 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