%0 Journal Article %T Generalized fractional delay functional equations with Riemann-Stieltjes and infinite point nonlocal conditions %A Youssef, M. I. %J Journal of Mathematics and Computer Science %D 2022 %V 24 %N 1 %@ ISSN 2008-949X %F Youssef2022 %X In the current work, we investigate the solvability of a general class of fractional delay functional equations subject to an infinite point non-classical condition, and the Riemann-Stieltjes integral condition as well. First, the existence of solutions is investigated. Second, the continuous dependence of solution is studied in three different cases. Third, illustrative examples are given to support our results. Our work extends some developments published recently in that field. %9 journal article %R 10.22436/jmcs.024.01.04 %U http://dx.doi.org/10.22436/jmcs.024.01.04 %P 33--48 %0 Book %T Fixed Point Theory and Applications %A R. P. Agarwal %A M. Meehan %A D. O'Regan %D 2001 %I Cambridge University Press %C Cambridge %F Agarwal2001 %0 Journal Article %T Fractional differential equations with dependence on the Caputo-Katugampola derivative %A R. Almeida %A A. B. Malinowska %A T. Odzijewicz %J J. Comput. Nonlinear Dynam. %D 2016 %V 11 %F Almeida2016 %0 Journal Article %T On the theory of nonlocal problems with integral conditions for systems of equations of hyperbolic type %A A. T. Assanova %J Ukrainian Math. J. %D 2019 %V 70 %F Assanova2019 %0 Book %T Fractional Calculus with Applications in Mechanics: Vibrations and Diffusion Processes %A T. M. Atanacković %A S. Pilipović %A B. Stanković %A D. Zorica %D 2014 %I John Wiley & Sons %C Hoboken %F Atanacković2014 %0 Journal Article %T On a nonlocal problem with integral boundary conditions for a multidimensional elliptic equation %A G. Avalishvili %A M. Avalishvili %A D. Gordeziani %J Appl. Math. Lett. %D 2011 %V 24 %F Avalishvili2011 %0 Journal Article %T Constitutive boundary conditions for nonlocal strain gradient elastic nano-beams %A R. Barretta %A F. Marotti de Sciarra %J Internat. J. Engrg. Sci. %D 2018 %V 130 %F Barretta2018 %0 Book %T Numerical methods for delay differential equations %A A. Bellen %A M. Zennaro %D 2003 %I Oxford University Press %C New York %F Bellen2003 %0 Book %T Fractional Calculus and Fractional Differential Equations %A V. Daftardar-Gejji %D 2019 %I Birkhauser %C Singapore %F Daftardar-Gejji2019 %0 Journal Article %T On stochastic solutions of nonlocal random functional integral equations %A M. M. Elborai %A M. I. Youssef %J Arab J. Math. Sci. %D 2019 %V 25 %F Elborai2019 %0 Journal Article %T Infinite point and Riemann-Stieltjes integral conditions for an integro-differential equation %A A. El-Sayed %A R. Gamal %J Nonlinear Anal. Model. Control %D 2019 %V 24 %F El-Sayed2019 %0 Journal Article %T Notes on some fractional calculus operators and their properties %A M. A. E. Herzallah %J J. Fract. Calc. Appl. %D 2014 %V 5 %F Herzallah2014 %0 Journal Article %T New approach to a generalized fractional integral %A U. N. Katugampola %J Appl. Math. Comput. %D 2011 %V 218 %F Katugampola2011 %0 Journal Article %T A new approach to generalized fractional derivatives %A U. N. Katugampola %J Bull. Math. Anal. Appl. %D 2014 %V 6 %F Katugampola2014 %0 Journal Article %T Nonlocal problems with integral conditions for elliptic equations %A A. I. Kozhanov %J Complex Var. Elliptic Equ. %D 2019 %V 64 %F Kozhanov2019 %0 Journal Article %T Existence and exponential decay of solutions for a wave equation with integral nonlocal boundary conditions of memory type %A L. T. P. Ngoc %A N. A. Triet %A A. P. N. Dinh %A N. T. Long %J Numer. Funct. Anal. Optim. %D 2017 %V 38 %F Ngoc2017 %0 Journal Article %T Variational Problems Involving a Caputo-Type Fractional Derivative %A A. Ricardo %J J. Optim. Theory Appl. %D 2017 %V 174 %F Ricardo2017 %0 Journal Article %T A new collection of real world applications of fractional calculus in science and engineering %A H. G. Sun %A Y. Zhang %A D. Baleanu %A W. Chen %A Y. Q. Chen %J Commun. Nonlinear Sci. Numer. Simul. %D 2018 %V 64 %F Sun2018 %0 Journal Article %T On the existence of solutions for nonlocal boundary value problems %A K. Szymańska-Dębowska %J Georgian Math. J. %D 2015 %V 22 %F Szymańska-Dębowska2015 %0 Journal Article %T Caputo-Katugampola fractional Volterra functional differential equations with a vanishing lag function %A M. I. Youssef %J J. Nonlinear Sci. Appl. %D 2020 %V 13 %F Youssef2020 %0 Journal Article %T On the solvability of a general class of a coupled system of stochastic functional integral equations %A M. I. Youssef %J Arab J. Basic Appl. Sci. %D 2020 %V 27 %F Youssef2020