In this article, by using the fixed point index theory, we investigate the existence of positive solutions for Riemann–Liouville nabla fractional difference equations satisfying two distinct types of boundary conditions.
Jagan Mohan Jonnalagadda +1 more
doaj +2 more sources
In this article, we consider the existence of at least one positive solution to the three-point boundary value problem for nonlinear fractional-order differential equation with an advanced argument where 2 < α ≤ 3, 0 < η < 1 ...
Ntouyas SK, Wang Guotao, Zhang Lihong
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Existence of solutions for fractional q-difference equations [PDF]
In this paper, we obtain some existence results for the integral boundary value problems of nonlinear fractional q-difference equations. The differential operator is taken in the Riemann-Liouville sense. Mathematics Subject Classification (2010): 39A13,
TOPAL, Fatma Serap, ÜLKE, Öyküm
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A nonlocal Cauchy problem for nonlinear generalized fractional integro-differential equations [PDF]
In this paper, we study the existence of solutions of a nonlocal Cauchy problem for nonlinear fractional integro-differential equations involving generalized Katugampola fractional derivative.
KHARAT, Vinod V. +2 more
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On the stability of solutions of fractional non conformable differential equations [PDF]
In this note we obtain sufficient conditions under which we can guarantee the stability of solutions of a fractional differential equations of non-conformable type and we obtain some fractional analogous theorems of the direct Lyapunov method for a given
LUGO MOTTA BITTENCURT, Luciano M. +2 more
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Positive solutions for fractional differential equations with non-separated type nonlocal multi-point and multi-term integral boundary conditions [PDF]
In this paper, we investigate a class of nonlinear fractional differential equations that contain both the multi-term fractional integral boundary condition and the multi-point boundary condition.
BENAICHA, Slimane, DJOURDEM, Habib
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Implicit Caputo-Fabrizio fractional differential equations with delay [PDF]
This article deals with some existence and uniqueness results for several classes of implicit fractional differential equations with delay. Our results are based on some fixed point theorems.
KRIM, Salim +3 more
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SOME NEW RESULTS OF INITIAL BOUNDARY PROBLEM CONTAIN ABC-FRACTIONAL DIFFERENTIAL EQUATIONS OF ORDER α∈(2,3) [PDF]
The purpose of this research is to investegate the existence and uniqueness of solutions for a new class of Atangana-Baleanu fractional differential equations of order with periodic boundary conditions.
Muhammad, Muhammad, Rafeeq, Ava
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Existence of solution for Hilfer fractional differential problem with nonlocal boundary condition [PDF]
This paper is devoted to study the existence of a solution to Hilfer fractional differential equation with nonlocal boundary condition in Banach spaces.
BHAIRAT, Sandeep P. +3 more
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Notes on various operators of fractional calculus and some of their implications for certain analytic functions [PDF]
The main purpose of this note is firstly to present certain information in relation with some elementary operators created by the well-known fractional calculus, also to determine a number of applications of them for certain complex function analytic in ...
IRMAK, Hüseyin
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