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[PDF] Top 20 Boundary value problems with four orders of Riemann Liouville fractional derivatives

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Boundary value problems with four orders of Riemann Liouville fractional derivatives

Boundary value problems with four orders of Riemann Liouville fractional derivatives

... the Riemann-Liouville fractional derivatives appearing in the differential equation and in the boundary conditions depend on the values of the constants λ and μ, ...order ... See full document

14

Existence and Hyers–Ulam stability for three point boundary value problems with Riemann–Liouville fractional derivatives and integrals

Existence and Hyers–Ulam stability for three point boundary value problems with Riemann–Liouville fractional derivatives and integrals

... two-term fractional differential equations. Three-point boundary value problems with mixed RiemannLiouville fractional differential and integral boundary conditions ... See full document

17

Fractional boundary value problems with Riemann Liouville fractional derivatives

Fractional boundary value problems with Riemann Liouville fractional derivatives

... Motivated by the results mentioned above, in this paper, we study the existence and uniqueness of positive solutions for the BVP () and (). We have found that no result has been established for the existence and ... See full document

14

Boundary value problems for impulsive multi-order Hadamard fractional differential equations

Boundary value problems for impulsive multi-order Hadamard fractional differential equations

... and Riemann-Liouville fractional derivatives have one similar prop- erty, which is the fact that the derivative of a constant is not equal to ...Hadamard fractional derivative into a ... See full document

13

Nontrivial solutions for an integral boundary value problem involving Riemann–Liouville fractional derivatives

Nontrivial solutions for an integral boundary value problem involving Riemann–Liouville fractional derivatives

... nonlinear fractional differential equations can be found for example in [6–37] and the references ...various boundary value problems of fractional differential equations, for example, Bai ... See full document

16

Studies on Sturm-Liouville boundary value problems for multi-term fractional differential equations

Studies on Sturm-Liouville boundary value problems for multi-term fractional differential equations

... of fractional differential equations with Riemann-Liouville fractional derivatives are different from those ones of fractional differential equations with Caputo’s ... See full document

18

On nonlocal Robin boundary value problems for Riemann–Liouville fractional Hahn integrodifference equation

On nonlocal Robin boundary value problems for Riemann–Liouville fractional Hahn integrodifference equation

... Robin boundary value problem for fractional Hahn integrodifference ...three fractional Hahn difference operators and a fractional Hahn integral with different numbers of q, ω and ... See full document

16

Multi point boundary value problems for a class of Riemann Liouville fractional differential equations

Multi point boundary value problems for a class of Riemann Liouville fractional differential equations

... for boundary value problems ...the boundary con- dition to depend on the lower fractional derivative D β  + , which leads to extra ... See full document

11

Riemann-Liouville integral boundary value problems for impulsive fractional integro-differential equations

Riemann-Liouville integral boundary value problems for impulsive fractional integro-differential equations

... nonlinear fractional order differential equations used in the modeling of viscoplasticity, in Scientifice Computing in Chemical Engineering II-Computational Fluid Dynamics, Reaction Engineering and Molecular ... See full document

9

On four-point fractional q-integrodifference boundary value problems involving separate nonlinearity and arbitrary fractional order

On four-point fractional q-integrodifference boundary value problems involving separate nonlinearity and arbitrary fractional order

... a four-point RiemannLiouville fractional q-integrodifference boundary value problem for a sequen- tial Caputo fractional q-integrodifference equation of the ... See full document

20

Nonnegative Solutions for a Riemann Liouville Fractional Boundary Value Problem

Nonnegative Solutions for a Riemann Liouville Fractional Boundary Value Problem

... a Riemann-Liouville fractional differential equation with integral terms, subject to boundary con- ditions which contain fractional derivatives and Riemann-Stieltjes ... See full document

12

Boundary value problems of fractional q-difference equations on the half-line

Boundary value problems of fractional q-difference equations on the half-line

... the boundary value problem of a class of nonlinear fractional q-difference equations involving the RiemannLiouville fractional q-derivative on the ... See full document

16

The Nehari manifold for a boundary value problem involving Riemann–Liouville fractional derivative

The Nehari manifold for a boundary value problem involving Riemann–Liouville fractional derivative

... of fractional calculus (that is, calculus of integrals and derivatives of any arbi- trary real or complex order) has gained considerable popularity and importance during the past four decades or so, ... See full document

18

Initial value problems for fractional differential equations involving Riemann-Liouville derivative

Initial value problems for fractional differential equations involving Riemann-Liouville derivative

... of fractional derivatives become apparent in modeling mechanical and electrical properties of real materials, and in many other fields, like theory of ...studying fractional differential equations ... See full document

9

Existence Result for Nonlinear Initial Value Problems Involving the Difference of Two Monotone Functions

Existence Result for Nonlinear Initial Value Problems Involving the Difference of Two Monotone Functions

... of fractional differential equation with Riemann-Liouville fractional derivative is developed in [2, 7, ...of Riemann-Liouville fraction- al differential equation and uniqueness ... See full document

6

Boundary value problems for a new class of three point nonlocal Riemann Liouville integral boundary conditions

Boundary value problems for a new class of three point nonlocal Riemann Liouville integral boundary conditions

... Fractional order differential equations have been of great interest recently because they play a vital role in describing many phenomena related to physics, chemistry, mechanics, control systems, flow in porous ... See full document

14

Mixed monotone operator methods for the existence and uniqueness of positive solutions to Riemann-Liouville fractional differential equation boundary value problems

Mixed monotone operator methods for the existence and uniqueness of positive solutions to Riemann-Liouville fractional differential equation boundary value problems

... involving fractional derivatives; see the monographs of Miller and Ross [], Podlubny [], Kilbas et ...nonlinear fractional differential equation boundary value ...nonlinear ... See full document

13

Boundary value problem for a class of fractional integro-differential coupled systems with Hadamard fractional calculus and impulses

Boundary value problem for a class of fractional integro-differential coupled systems with Hadamard fractional calculus and impulses

... Sonin, Riemann, Liou- ville, Caputo, et ...of fractional cal- culus. In 1830s, Riemann and Liouville defined the integral and derivative which is now called RiemannLiouville ... See full document

18

Existence and uniqueness of solutions for mixed fractional q-difference boundary value problems

Existence and uniqueness of solutions for mixed fractional q-difference boundary value problems

... mixed fractional q-difference boundary value problems involving the RiemannLiouville and the Caputo fractional ... See full document

15

A study of Riemann-Liouville fractional nonlocal integral boundary value problems

A study of Riemann-Liouville fractional nonlocal integral boundary value problems

... a Riemann-Liouville type fractional differential equation with nonlocal four-point Riemann-Liouville fractional-integral boundary conditions by means of classical ... See full document

9

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