{"id":1138,"date":"2022-09-07T21:07:17","date_gmt":"2022-09-07T21:07:17","guid":{"rendered":"\/wolfram-u\/?post_type=courses&#038;p=1138"},"modified":"2026-07-16T20:38:20","modified_gmt":"2026-07-16T20:38:20","slug":"introduction-to-fractional-calculus-math930","status":"publish","type":"courses","link":"https:\/\/www.wolfram.com\/wolfram-u\/courses\/mathematics\/introduction-to-fractional-calculus-math930\/","title":{"rendered":"Introduction to Fractional Calculus"},"content":{"rendered":"<p>Learn about computing fractional derivatives and using the popular Laplace transform technique to solve systems of linear fractional differential equations with Wolfram Language. The first video describes the basics of fractional calculus, defines some of the common differintegrals and introduces the built-in <strong>FractionalD<\/strong> and <strong>CaputoD<\/strong> functions. The second video focuses on using <strong>LaplaceTransform<\/strong> and <strong>InverseLaplaceTransform<\/strong> to convert functions from time domain to frequency domain and back again. It also demonstrates how you can combine the Laplace transform with <strong>MittagLefflerE<\/strong> functions and Caputo derivatives. The final video provides more background on fractional calculus and its uses and showcases demonstrative examples of both single fractional differential equations and systems of linear fractional differential equations.<\/p>","protected":false},"excerpt":{"rendered":"Learn about computing fractional derivatives and using the popular Laplace transform technique to solve systems of linear fractional differential equations using Wolfram Language. The first video describes the basics of fractional calculus, defines some of the common differintegrals and introduces the built-in FractionalD and CaputoD functions. The second video focuses on using LaplaceTransform and InverseLaplaceTransform to convert from time domain to frequency domain and back again. It also demonstrates how you can combine the Laplace transform with MittagLefflerE functions and CaputoD derivatives. The final video provides more background on fractional calculus and its uses and showcases demonstrative examples of both single fractional differential equations and systems of linear fractional differential equations.","protected":false},"featured_media":1445,"parent":0,"template":"","meta":{"footnotes":""},"course_format":[21],"class_list":["post-1138","courses","type-courses","status-publish","has-post-thumbnail","hentry"],"_links":{"self":[{"href":"https:\/\/www.wolfram.com\/wolfram-u\/wp-json\/wp\/v2\/courses\/1138"}],"collection":[{"href":"https:\/\/www.wolfram.com\/wolfram-u\/wp-json\/wp\/v2\/courses"}],"about":[{"href":"https:\/\/www.wolfram.com\/wolfram-u\/wp-json\/wp\/v2\/types\/courses"}],"version-history":[{"count":3,"href":"https:\/\/www.wolfram.com\/wolfram-u\/wp-json\/wp\/v2\/courses\/1138\/revisions"}],"predecessor-version":[{"id":4348,"href":"https:\/\/www.wolfram.com\/wolfram-u\/wp-json\/wp\/v2\/courses\/1138\/revisions\/4348"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.wolfram.com\/wolfram-u\/wp-json\/wp\/v2\/media\/1445"}],"wp:attachment":[{"href":"https:\/\/www.wolfram.com\/wolfram-u\/wp-json\/wp\/v2\/media?parent=1138"}],"wp:term":[{"taxonomy":"course_format","embeddable":true,"href":"https:\/\/www.wolfram.com\/wolfram-u\/wp-json\/wp\/v2\/course_format?post=1138"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}