1 |
J.A. Nanware and D.B. Dhaigude, Boundary value problems for differential equations of non-integer order involving Caputo fractional derivative, Advan. Studies Contemp. Math., 24(3) (2014), 369-376.
|
2 |
J.A. Nanware and D. B. Dhaigude, System of initial value problems involving Riemann-Liouville sequential fractional derivative, Commu. Appl. Anal., 22(3) (2018), 353-368.
|
3 |
J.J. Nieto, A. Ouahab and V. Venktesh, Implicit fractional differential equations via the Liouville-Caputo derivative, Mathematics, 3 (2015), 398-411.
DOI
|
4 |
M.A. Abdo, H.A. Wahash and S.K. Panchal, Positive solutions of a fractional differential equation with integral boundary conditions, J. Appl. Math. Comput. Mech., 17(3) (2018), 5-15.
DOI
|
5 |
H. Boulares, A. Ardjouni and Y. Laskri, Positive solutions for nonlinear fractional differential equations, Positivity, 21 (2017), 1201-1212.
DOI
|
6 |
V. Lakshmikantham and A. Vatsala, Basic theory of fractional differential equations, Nonlinear Analysis: TMA, 69(8) (2008), 2677-2682.
DOI
|
7 |
V. Lakshmikantham, Theory of fractional functional differential equations, Nonlinear Analysis: TMA, 69(10) (2008), 3337-3343.
DOI
|
8 |
M. Li, J. Sun and Y. Zhao, Existence of positive solution for BVP of nonlinear fractional differential equation with integral boundary conditions, Advan. Diff. Equ., 177 (2020). doi.org/10.1186/s13662-020-02618-9
DOI
|
9 |
K.S. Miller and B. Ross, An Introduction To The Fractional Calculus And Fractional Differential Equations, Wiley, New York, 1993.
|
10 |
S.G. Samko, A.A. Kilbas and O.I. Marichev, Fractional Integrals and Derivatives: Theory and Applications, Gordon and Breach, 1993.
|
11 |
D.R. Smart, Fixed Point Theorems, Cambridge University Press, Cambridge, 1980.
|
12 |
S. Zhang, The existence of a positive solution for a nonlinear fractional differential equation, J. Math. Anal. Appl., 252 (2000), 804-812.
DOI
|
13 |
A. Ardjouni and A. Djoudi, Positive solutions for first-order nonlinear Caputo-Hadamard fractional differential equations, Kragujevac J. Math., 45(6) (2021), 897-908.
DOI
|
14 |
A. Ardjouni and A. Djoudi, Existence and uniqueness of positive solutions for first-order nonlinear Liouville-Caputo fractional differential equations, J. Math Sci., 14 (2020) 381-390.
|
15 |
K. Diethelm, The Analysis of Fractional Differential Equations. An Application-Oriented Exposition Using Differential Operators of Caputo Type, Springer-Verlag: Berlin, Germany, Lecture Notes in Math., 2010, /doi.org/10.1007/978-3-642-14574-2.
DOI
|
16 |
A. Kilbas, H. Srivastava and J. Trujillo, Theory and Applications of Fractional Differential Equations, Elsevier, Amsterdam, 2006.
|
17 |
V. Lakshmikantham and A. Vatsala, Theory of fractional differential inequalities and applications, Commu. Appl. Anal., Vol-II (2007), 395-402.
|
18 |
M. Matar, On existence of positive solution for initial value problem of nonlinear fractional differential equations of order 1 < α ≤ 2, Acta Math. Univ. Comen., 84(1) (2015), 51-57.
|
19 |
I. Podlubny, Fractional Differential Equations, Academic Press, San Diego, 1999.
|
20 |
M. Xu and Z. Han, Positive solutions for integral boundary value problem of two-term fractional differential equations, Bound. Value Probl., (2018), Article number: 100. doi.org/10.1186/s13661-018-1021-z.
DOI
|
21 |
J.A. Nanware and G.A. Birajdar, Methods of solving fractional differential equations of order α (0 < α < 1), Bull. the Marathwada Math. Soc., 15(2) (2014), 40-53.
|