Solvability of a Three-Point Fractional Nonlinear Boundary Value Problem

Existence of Weak Solutions for Caputo’s Fractional Derivatives in Banach Spaces

“…Recently researchers achieved great interest in boundary value problems of fractional differential equations involving Caputo Fractional derivative and Riemann-Liouville fractional integral. For more details see [3,4,5,6,7,8] and reference therein.Boundary value problems with nonlocal conditions are also a topic where researchers paid a large attention. As this is an effective tool to the modeling of physics, chemistry, biology, biophysics, blood flow phenomenon, wave propagation, fitting of experimental data, economics , etc.…”

Positive solutions for Hadamard differential systems with fractional integral conditions on an unbounded domain

“…A variety of results on initial and boundary value problems of fractional differential equations and inclusions can easily be found in the literature on the topic. For some recent results, we can refer to [8]- [18] and references cited therein.…”

On Some Existence and Uniqueness Results for a Class of Equations of Order0<α≤1on Arbitrary Time Scales

“…The quantitative behaviour of solutions to ordinary differential equations on time scales is currently undergoing active investigations. Many authors studied the existence and the uniqueness of the solutions of initial and boundary differential equations; see [8,[10][11][12][13][14][15][16][17][18][19][20] and the references cited therein. In the papers [21][22][23][24][25], several authors were interested by the existence and uniqueness of the first-order differential equations on time scales with initial or boundary conditions using diverse techniques and conditions.…”