On multi-step methods for singular fractional <i>q</i>-integro-differential equations
On multi-step methods for singular fractional <i>q</i>-integro-differential equations
Abstract The objective of this paper is to investigate, by applying the standard Caputo fractional q -derivative of order <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mi>α</m:mi> </m:math> \alpha , the existence of solutions for the singular fractional q -integro-differential equation <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msubsup> <m:mrow> <m:mi class="MJX-tex-caligraphic" mathvariant="script">D</m:mi> </m:mrow> <m:mrow> <m:mi>q</m:mi> </m:mrow> <m:mrow> <m:mi>α</m:mi> </m:mrow> …