Hadamard-type fractional calculus for fuzzy functions and existence theory for fuzzy fractional functional integro-differential equations

[1]  Vasile Lupulescu,et al.  Fractional calculus for interval-valued functions , 2015, Fuzzy Sets Syst..

[2]  Wei Zhang,et al.  Algebraic properties and topological properties of the quotient space of fuzzy numbers based on Mareš equivalence relation , 2014, Fuzzy Sets Syst..

[3]  Bernard De Baets,et al.  Analytical and numerical solutions of fuzzy differential equations , 2013, Inf. Sci..

[4]  Nguyen Thi Kim Son,et al.  The solvability of fuzzy fractional partial differential equations under Caputo gH-differentiability , 2017, Fuzzy Sets Syst..

[5]  Tofigh Allahviranloo,et al.  Existence and uniqueness results for fractional differential equations with uncertainty , 2012, Advances in Difference Equations.

[6]  Tofigh Allahviranloo,et al.  Fuzzy fractional differential equations under generalized fuzzy Caputo derivative , 2014, J. Intell. Fuzzy Syst..

[7]  Omid Solaymani Fard,et al.  A survey on fuzzy fractional variational problems , 2014, J. Comput. Appl. Math..

[8]  Xiaoguang Qi,et al.  Some results on difference polynomials sharing values , 2012, Advances in Difference Equations.

[9]  Bashir Ahmad,et al.  On Caputo–Hadamard type fractional impulsive hybrid systems with nonlinear fractional integral conditions , 2016 .

[10]  Dumitru Baleanu,et al.  Caputo-type modification of the Hadamard fractional derivatives , 2012, Advances in Difference Equations.

[11]  Ngo Van Hoa,et al.  FUZZY FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS IN PARTIALLY ORDERED METRIC SPACES , 2017 .

[12]  Ngo Van Hoa,et al.  Fuzzy fractional functional differential equations under Caputo gH-differentiability , 2015, Commun. Nonlinear Sci. Numer. Simul..

[13]  Juan J. Nieto,et al.  Fuzzy delay differential equations under generalized differentiability , 2014, Inf. Sci..

[14]  Hoang Viet Long,et al.  An extension of Krasnoselskii’s fixed point theorem and its application to nonlocal problems for implicit fractional differential systems with uncertainty , 2018 .

[15]  S. Abbasbandy,et al.  The fuzzy generalized Taylor’s expansion with application in fractional differential equations , 2019 .

[16]  Donal O'Regan,et al.  Solving interval-valued fractional initial value problems under Caputo gH-fractional differentiability , 2017, Fuzzy Sets Syst..

[17]  Dumitru Baleanu,et al.  On Caputo modification of the Hadamard fractional derivatives , 2014, Advances in Difference Equations.

[18]  Naser Pariz,et al.  Granular Differentiability of Fuzzy-Number-Valued Functions , 2018, IEEE Transactions on Fuzzy Systems.

[19]  Malgorzata Klimek,et al.  Sequential fractional differential equations with Hadamard derivative , 2011 .

[20]  Ngo Van Hoa,et al.  Fuzzy fractional differential equations under Caputo-Katugampola fractional derivative approach , 2019, Fuzzy Sets Syst..

[21]  Mehran Mazandarani,et al.  Type-2 fuzzy fractional derivatives , 2014, Commun. Nonlinear Sci. Numer. Simul..

[22]  H. Srivastava,et al.  Theory and Applications of Fractional Differential Equations , 2006 .

[23]  Laécio C. Barros,et al.  A note on the generalized difference and the generalized differentiability , 2015, Fuzzy Sets Syst..

[24]  Dumitru Baleanu,et al.  A Jacobi operational matrix for solving a fuzzy linear fractional differential equation , 2013 .

[25]  Imre J. Rudas,et al.  First order linear fuzzy differential equations under generalized differentiability , 2007, Inf. Sci..

[26]  Donal O'Regan,et al.  A note on initial value problems for fractional fuzzy differential equations , 2017, Fuzzy Sets Syst..

[27]  Barnabás Bede,et al.  Generalized differentiability of fuzzy-valued functions , 2013, Fuzzy Sets Syst..

[28]  Tofigh Allahviranloo,et al.  SOLVING FUZZY FRACTIONAL DIFFERENTIAL EQUATIONS BY FUZZY LAPLACE TRANSFORMS , 2012 .

[29]  Barnabás Bede,et al.  Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations , 2005, Fuzzy Sets Syst..

[30]  Ali Vahidian Kamyad,et al.  Modified fractional Euler method for solving Fuzzy Fractional Initial Value Problem , 2013, Commun. Nonlinear Sci. Numer. Simul..

[31]  Tofigh Allahviranloo,et al.  Explicit solutions of fractional differential equations with uncertainty , 2012, Soft Comput..

[32]  Vasile Lupulescu,et al.  On the fractional differential equations with uncertainty , 2011 .

[33]  Wei Zhang,et al.  On fuzzy differential equations in the quotient space of fuzzy numbers , 2016, Fuzzy Sets Syst..

[34]  Ravi P. Agarwal,et al.  On the concept of solution for fractional differential equations with uncertainty , 2010 .

[35]  Dong Qiu,et al.  Symmetric fuzzy numbers and additive equivalence of fuzzy numbers , 2013, Soft Computing.

[36]  Van Hoa Ngo,et al.  Fuzzy fractional functional integral and differential equations , 2015 .

[37]  Rosana Rodríguez-López,et al.  On the solutions to first order linear fuzzy differential equations , 2016, Fuzzy Sets Syst..

[38]  Jen-Chih Yao,et al.  Ulam Stability for Fractional Partial Integro-Differential Equation with Uncertainty , 2017 .

[39]  Ricardo Almeida,et al.  Caputo–Hadamard Fractional Derivatives of Variable Order , 2016, 1607.07591.

[40]  Juan J Nieto,et al.  Schauder fixed-point theorem in semilinear spaces and its application to fractional differential equations with uncertainty , 2014 .