Existence of solution to fractional differential equation with fractional integral type boundary conditions

2020 ◽  
Vol 44 (2) ◽  
pp. 1615-1627
Author(s):  
Anwar Ali ◽  
Muhammad Sarwar ◽  
Mian Bahadur Zada ◽  
Kamal Shah
Keyword(s):  
Differential Equation ◽  
Boundary Conditions ◽  
Fractional Differential Equation ◽  
Fractional Integral ◽  
Existence Of Solution ◽  
Integral Type ◽  
Fractional Differential ◽  
Type Boundary

A Lyapunov-type inequality for a fractional boundary value problem

2013 ◽  
Vol 16 (4) ◽  
Author(s):  
Rui Ferreira
Keyword(s):  
Differential Equation ◽  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Fractional Differential Equation ◽  
Type Inequality ◽  
Fractional Boundary Value Problem ◽  
Real Zeros ◽  
Fractional Differential ◽  
Type Boundary ◽  
Lyapunov Type Inequality

AbstractIn this work we obtain a Lyapunov-type inequality for a fractional differential equation subject to Dirichlet-type boundary conditions. Moreover, we apply this inequality to deduce a criteria for the nonexistence of real zeros of a certain Mittag-Leffler function.

scholarly journals A New Impulsive Multi-Orders Fractional Differential Equation Involving Multipoint Fractional Integral Boundary Conditions

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Guotao Wang ◽  
Sanyang Liu ◽  
Dumitru Baleanu ◽  
Lihong Zhang
Keyword(s):  
Differential Equation ◽  
Boundary Conditions ◽  
Fractional Differential Equation ◽  
Fractional Integral ◽  
Fixed Point Theorems ◽  
Integral Boundary Conditions ◽  
Integral Boundary ◽  
Existence And Uniqueness Results ◽  
Uniqueness Results ◽  
Fractional Differential

A new impulsive multi-orders fractional differential equation is studied. The existence and uniqueness results are obtained for a nonlinear problem with fractional integral boundary conditions by applying standard fixed point theorems. An example for the illustration of the main result is presented.

scholarly journals On a Hilfer fractional differential equation with nonlocal Erdélyi-Kober fractional integral boundary conditions

Filomat ◽  
2020 ◽  
Vol 34 (9) ◽  
pp. 3003-3014
Author(s):  
Mohamed Abbas
Keyword(s):  
Differential Equation ◽  
Fixed Point ◽  
Fixed Point Theorem ◽  
Boundary Conditions ◽  
Fractional Differential Equation ◽  
Point Theorem ◽  
Fractional Integral ◽  
Integral Boundary Conditions ◽  
Integral Boundary ◽  
Fractional Differential

We consider a Hilfer fractional differential equation with nonlocal Erd?lyi-Kober fractional integral boundary conditions. The existence, uniqueness and Ulam-Hyers stability results are investigated by means of the Krasnoselskii?s fixed point theorem and Banach?s fixed point theorem. An example is given to illustrate the main results.

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