On Sequential Fractional Integro-Differential Equations with Nonlocal Integral Boundary Conditions
Sign Up to like & getrecommendations! Published in 2018 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-016-0421-4
Abstract: We study a boundary value problem of sequential fractional differential equations equipped with nonlocal integral boundary conditions (strip conditions of finite arbitrary size) involving the first-order derivative of the unknown function. As a variant problem,… read more here.
Keywords: boundary conditions; nonlocal integral; integral boundary; differential equations ... See more keywords
Sequential fractional differential equations and inclusions with semi-periodic and nonlocal integro-multipoint boundary conditions
Sign Up to like & getrecommendations! Published in 2019 at "Journal of King Saud University - Science"
DOI: 10.1016/j.jksus.2017.09.020
Abstract: Abstract This paper is concerned with the existence of solutions for Caputo type sequential fractional differential equations and inclusions supplemented with semi-periodic and nonlocal integro-multipoint boundary conditions involving Riemann-Liouville integral. We make use of standard… read more here.
Keywords: periodic nonlocal; fractional differential; sequential fractional; equations inclusions ... See more keywords
A sharp convexity result for sequential fractional delta differences
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Difference Equations and Applications"
DOI: 10.1080/10236198.2017.1380635
Abstract: Abstract We prove that a class of convexity-type results for sequential fractional delta differences is sharp. More precisely, we consider the sequential fractional delta difference map , for , where , , and . We… read more here.
Keywords: delta differences; convexity; fractional delta; convexity type ... See more keywords
Nonlinear sequential fractional differential equations with nonlocal boundary conditions involving lower-order fractional derivatives
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DOI: 10.1186/s13662-017-1152-z
Abstract: This paper studies a new class of boundary value problems of sequential fractional differential equations of order q∈(2,3]$q \in(2, 3]$ supplemented with nonlocal non-separated boundary conditions involving lower-order fractional derivatives. Existence and uniqueness results for… read more here.
Keywords: order; boundary conditions; conditions involving; fractional differential ... See more keywords
On coupled Hadamard type sequential fractional differential equations with variable coefficients and nonlocal integral boundary conditions
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DOI: 10.2298/fil1719041a
Abstract: In this paper, we develop the existence criteria for the solutions of a system of Hadamard type sequential fractional differential equations with variable coefficients and nonlocal integral boundary conditions. The main results rely on the… read more here.
Keywords: type sequential; hadamard type; equations variable; fractional differential ... See more keywords
The Unique Solution for Sequential Fractional Differential Equations with Integral Multi-Point and Anti-Periodic Type Boundary Conditions
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DOI: 10.3390/sym14040761
Abstract: : In this paper, we obtain the existence of the unique solution of anti-periodic type (anti-symmetry) integral multi-point boundary conditions for sequential fractional differential equations. We apply the Banach contraction mapping principle to get the… read more here.
Keywords: multi point; sequential fractional; fractional differential; differential equations ... See more keywords