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Existence, regularity and representation of solutions of time fractional diffusion equations

Advances in Differential Equations, 2016
Using regularized resolvent families, we investigate the solvability of the fractional order inhomogeneous Cauchy problem Dt u(t) = Au(t) + f(t), t > 0, 0 < α ≤ 1, where Dt is the Caputo fractional derivative of order α, A a closed linear operator on ...
V. Keyantuo, C. Lizama, M. Warma
semanticscholar   +1 more source

Existence, uniqueness and stability analysis for a $\mathfrak{f}$-Caputo generalized proportional fractional boundary problem with distinct generalized integral conditions

Boundary Value Problems
Hamid Lmou, Samira Zerbib, Sina Etemad, İbrahim Avcı, Raaid Alubady   +4 more
semanticscholar   +1 more source