Investigation of a system of nonlinear fractional order hybrid differential equations under usual boundary conditions for existence of solution

Anwar Shah; Rahmat Ali Khan; Aziz Khan; Hasib Khan; José Francisco Gómez‐Aguilar

doi:10.1002/mma.6865

Investigation of a system of nonlinear fractional order hybrid differential equations under usual boundary conditions for existence of solution

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.6865 ◽

2020 ◽

Vol 44 (2) ◽

pp. 1628-1638

Author(s):

Anwar Shah ◽

Rahmat Ali Khan ◽

Aziz Khan ◽

Hasib Khan ◽

José Francisco Gómez‐Aguilar

Keyword(s):

Differential Equations ◽

Boundary Conditions ◽

Fractional Order ◽

Existence Of Solution ◽

Hybrid Differential Equations

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Qualitative analysis of nonlinear coupled pantograph differential equations of fractional order with integral boundary conditions

Boundary Value Problems ◽

10.1186/s13661-020-01432-2 ◽

2020 ◽

Vol 2020 (1) ◽

Author(s):

Hussam Alrabaiah ◽

Israr Ahmad ◽

Kamal Shah ◽

Ghaus Ur Rahman

Keyword(s):

Differential Equations ◽

Boundary Conditions ◽

Qualitative Analysis ◽

Fractional Order ◽

Integral Boundary Conditions ◽

Integral Boundary

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Fractional-order differential equations with anti-periodic boundary conditions: a survey

Boundary Value Problems ◽

10.1186/s13661-017-0902-x ◽

2017 ◽

Vol 2017 (1) ◽

Cited By ~ 12

Author(s):

Ravi P Agarwal ◽

Bashir Ahmad ◽

Ahmed Alsaedi

Keyword(s):

Differential Equations ◽

Boundary Conditions ◽

Fractional Order ◽

Periodic Boundary ◽

Periodic Boundary Conditions ◽

Fractional Order Differential Equations

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Investigating a Class of Pantograph Differential Equations Under Multi-points Boundary Conditions with Fractional Order

International Journal of Applied and Computational Mathematics ◽

10.1007/s40819-020-00932-0 ◽

2020 ◽

Vol 7 (1) ◽

Author(s):

Gauhar Ali ◽

Kamal Shah ◽

Ghaus ur Rahman

Keyword(s):

Differential Equations ◽

Boundary Conditions ◽

Fractional Order

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ON EXISTENCE OF SOLUTION FOR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH FOUR-POINT NONLOCAL FRACTIONAL BOUNDARY CONDITIONS

Journal of Pure and Applied Mathematics Advances and Applications ◽

10.18642/jpamaa_7100121482 ◽

2015 ◽

pp. 137-151

Keyword(s):

Differential Equations ◽

Boundary Conditions ◽

Fractional Differential Equations ◽

Existence Of Solution ◽

Nonlinear Fractional Differential Equations ◽

Fractional Differential ◽

Fractional Boundary Conditions

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Application of the fractional differential transform method to fractional-order integro-differential equations with nonlocal boundary conditions

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2010.01.053 ◽

2010 ◽

Vol 234 (3) ◽

pp. 883-891 ◽

Cited By ~ 69

Author(s):

D. Nazari ◽

S. Shahmorad

Keyword(s):

Differential Equations ◽

Boundary Conditions ◽

Fractional Order ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

Differential Transform Method ◽

Transform Method ◽

Differential Transform ◽

Fractional Differential

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A class of differential equations of fractional order with multi-point boundary conditions

Georgian Mathematical Journal ◽

10.1515/gmj-2014-0025 ◽

2014 ◽

Vol 0 (0) ◽

Cited By ~ 2

Author(s):

Bashir Ahmad ◽

Juan J. Nieto

Keyword(s):

Differential Equations ◽

Boundary Conditions ◽

Fractional Order ◽

Point Boundary

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Existence results for multi-term time-fractional impulsive differential equations with fractional order boundary conditions

Malaya Journal of Matematik ◽

10.26637/mjm0504/0003 ◽

2017 ◽

Vol 05 (04) ◽

Author(s):

Vikram Singh ◽

Dwijendra N Pandey

Keyword(s):

Differential Equations ◽

Boundary Conditions ◽

Fractional Order ◽

Impulsive Differential Equations ◽

Existence Results

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Existence and uniqueness of solutions of differential equations of fractional order with integral boundary conditions

The Journal of Nonlinear Sciences and Applications ◽

10.22436/jnsa.007.04.02 ◽

2014 ◽

Vol 07 (04) ◽

pp. 246-254 ◽

Cited By ~ 18

Author(s):

J. A. Nanware ◽

D. B. Dhaigude

Keyword(s):

Differential Equations ◽

Boundary Conditions ◽

Fractional Order ◽

Existence And Uniqueness ◽

Integral Boundary Conditions ◽

Uniqueness Of Solutions ◽

Integral Boundary

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Operational-matrix-based algorithm for differential equations of fractional order with Dirichlet boundary conditions

The European Physical Journal Plus ◽

10.1140/epjp/i2019-12653-7 ◽

2019 ◽

Vol 134 (6) ◽

Cited By ~ 10

Author(s):

Muhammad Usman ◽

Muhammad Hamid ◽

Tamour Zubair ◽

Rizwan Ul. Haq ◽

Wei Wang

Keyword(s):

Differential Equations ◽

Boundary Conditions ◽

Fractional Order ◽

Dirichlet Boundary ◽

Operational Matrix ◽

Dirichlet Boundary Conditions

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Existence and approximation of solutions to fractional order hybrid differential equations

Advances in Difference Equations ◽

10.1186/s13662-016-0999-8 ◽

2016 ◽

Vol 2016 (1) ◽

Cited By ~ 2

Author(s):

Dussadee Somjaiwang ◽

Parinya Sa Ngiamsunthorn

Keyword(s):

Differential Equations ◽

Fractional Order ◽

Hybrid Differential Equations

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