On a nonlocal 1-D initial value problem for a singular fractional-order parabolic equation with Bessel operator

• Published in: Advances in difference equations Vol. 2019; no. 1; pp. 1 - 14
• Main Authors: Mesloub, Said, Bachar, Imed
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 27.06.2019; Springer Nature B.V; SpringerOpen
• Subjects: Analysis; Boundary value problems; Difference and Functional Equations; Fractional differential equation; Functional Analysis; Initial boundary value problem; Mathematics; Mathematics and Statistics; Operators (mathematics); Ordinary Differential Equations; Partial Differential Equations; Solvability of the problem; Weighted integral conditions; Weighted integral conditions; Fractional differential equation; Solvability of the problem; Initial boundary value problem; 35D35; 35L20

In this paper, we obtain some results of the existence and uniqueness of a generalized solution for a singular fractional initial boundary value problem in the Caputo sense subject to Neumann and weighted integral conditions. We show that a priori estimate or energy inequality methods can be success...