Three point boundary value problems for nonlinear fractional differential equations

Existence and Uniqueness Results for a Coupled System of Hadamard Fractional Differential Equations With Multi-Point Boundary Conditions

“…For more details, we refer the reader to [3,5,6,7,11,12,13,14,16,18]. There has been a sign cant progress in the investigation of these equations in recent years, see [3,8,17,18,19]. More recently, a basic theory for the initial boundary value problems of fractional differential equations has been discussed in [1,3,14,16,20,22].…”

“…More recently, a basic theory for the initial boundary value problems of fractional differential equations has been discussed in [1,3,14,16,20,22]. On the other hand, existence and uniqueness of solutions to boundary value problems for fractional differential equations has attracted the attention of many authors, see for example, [16,17,19] and the references therein. Moreover, the study of coupled systems of fractional order is also important in various problems of applied nature [2,9,10,15,24,25].…”

Ulam-Hyers-Stability for nonlinear fractional neutral differential equations

“…(see [5][6][7][8]). For more details on this area, one can see the monograph of Kilbas et al [14], I. Podulbny [23], Miller and Ross [17], Li et al [15,16], Rehman et al [25] , Chen et al [1][2][3][4], Saeed [27] and the references therein.…”

Numerical Solutions of Coupled Systems of Fractional Order Partial Differential Equations

“…In fact most of the engineering and physical processes can be modeled and well explained by using a system of fractional order differential and integral equations more realistically as compared to system of conventional differential and integral equations, (see [1,[5][6][7][8][9][10][11][12][13][14][15] and the references therein). The area of fractional calculus devoted to the existence and uniqueness of positive solution to (FDEs) and (FPDEs) is well studied and a lot of research work is available on it (we refer to [16][17][18][19][20]). In the last two decades, the area dealing with numerical solutions of FDEs and FPDEs has attracted the attention of many researchers.…”